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Finding the Third Proportional to 393,466 and 577,151

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Solution

The third proportional to 393,466 and 577,151 is: 846,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,466 : 577,151 = 577,151 : x
  2. Step 2: Convert to fraction form
    393,466/577,151 = 577,151/x
  3. Step 3: Cross multiply
    393,466x = 577,151 × 577,151
  4. Step 4: Simplify right side
    393,466x = 333,103,276,801
  5. Step 5: Solve for x
    x = 333,103,276,801/393,466
  6. Step 6: Final answer
    x = 846,587.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.