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Finding the Third Proportional to 371,516 and 560,730

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Solution

The third proportional to 371,516 and 560,730 is: 846,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,516 : 560,730 = 560,730 : x
  2. Step 2: Convert to fraction form
    371,516/560,730 = 560,730/x
  3. Step 3: Cross multiply
    371,516x = 560,730 × 560,730
  4. Step 4: Simplify right side
    371,516x = 314,418,132,900
  5. Step 5: Solve for x
    x = 314,418,132,900/371,516
  6. Step 6: Final answer
    x = 846,311.15

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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.