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Finding the Third Proportional to 346,237.50 and 517,972.50

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Solution

The third proportional to 346,237.50 and 517,972.50 is: 774,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,237.50 : 517,972.50 = 517,972.50 : x
  2. Step 2: Convert to fraction form
    346,237.50/517,972.50 = 517,972.50/x
  3. Step 3: Cross multiply
    346,237.50x = 517,972.50 × 517,972.50
  4. Step 4: Simplify right side
    346,237.50x = 268,295,510,756.25
  5. Step 5: Solve for x
    x = 268,295,510,756.25/346,237.50
  6. Step 6: Final answer
    x = 774,888.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.