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Finding the Third Proportional to 371,632 and 560,930

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Solution

The third proportional to 371,632 and 560,930 is: 846,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,632 : 560,930 = 560,930 : x
  2. Step 2: Convert to fraction form
    371,632/560,930 = 560,930/x
  3. Step 3: Cross multiply
    371,632x = 560,930 × 560,930
  4. Step 4: Simplify right side
    371,632x = 314,642,464,900
  5. Step 5: Solve for x
    x = 314,642,464,900/371,632
  6. Step 6: Final answer
    x = 846,650.62

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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.