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Finding the Third Proportional to 621,053.16 and 934,688.53

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Solution

The third proportional to 621,053.16 and 934,688.53 is: 1,406,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,053.16 : 934,688.53 = 934,688.53 : x
  2. Step 2: Convert to fraction form
    621,053.16/934,688.53 = 934,688.53/x
  3. Step 3: Cross multiply
    621,053.16x = 934,688.53 × 934,688.53
  4. Step 4: Simplify right side
    621,053.16x = 873,642,650,450.28
  5. Step 5: Solve for x
    x = 873,642,650,450.28/621,053.16
  6. Step 6: Final answer
    x = 1,406,711.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.