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Finding the Third Proportional to 331,056,766 and 709,645,242

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Solution

The third proportional to 331,056,766 and 709,645,242 is: 1,521,178,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,056,766 : 709,645,242 = 709,645,242 : x
  2. Step 2: Convert to fraction form
    331,056,766/709,645,242 = 709,645,242/x
  3. Step 3: Cross multiply
    331,056,766x = 709,645,242 × 709,645,242
  4. Step 4: Simplify right side
    331,056,766x = 503,596,369,493,238,592
  5. Step 5: Solve for x
    x = 503,596,369,493,238,592/331,056,766
  6. Step 6: Final answer
    x = 1,521,178,302.98

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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.