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Finding the Third Proportional to 331,056,763.50 and 709,645,237.50

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Solution

The third proportional to 331,056,763.50 and 709,645,237.50 is: 1,521,178,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,056,763.50 : 709,645,237.50 = 709,645,237.50 : x
  2. Step 2: Convert to fraction form
    331,056,763.50/709,645,237.50 = 709,645,237.50/x
  3. Step 3: Cross multiply
    331,056,763.50x = 709,645,237.50 × 709,645,237.50
  4. Step 4: Simplify right side
    331,056,763.50x = 503,596,363,106,431,424
  5. Step 5: Solve for x
    x = 503,596,363,106,431,424/331,056,763.50
  6. Step 6: Final answer
    x = 1,521,178,295.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.