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Finding the Third Proportional to 403,723 and 586,792

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Solution

The third proportional to 403,723 and 586,792 is: 852,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,723 : 586,792 = 586,792 : x
  2. Step 2: Convert to fraction form
    403,723/586,792 = 586,792/x
  3. Step 3: Cross multiply
    403,723x = 586,792 × 586,792
  4. Step 4: Simplify right side
    403,723x = 344,324,851,264
  5. Step 5: Solve for x
    x = 344,324,851,264/403,723
  6. Step 6: Final answer
    x = 852,874.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.