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Finding the Third Proportional to 371,634 and 560,934

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Solution

The third proportional to 371,634 and 560,934 is: 846,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,634 : 560,934 = 560,934 : x
  2. Step 2: Convert to fraction form
    371,634/560,934 = 560,934/x
  3. Step 3: Cross multiply
    371,634x = 560,934 × 560,934
  4. Step 4: Simplify right side
    371,634x = 314,646,952,356
  5. Step 5: Solve for x
    x = 314,646,952,356/371,634
  6. Step 6: Final answer
    x = 846,658.14

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