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Finding the Third Proportional to 510,397.88 and 614,827.13

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Solution

The third proportional to 510,397.88 and 614,827.13 is: 740,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,397.88 : 614,827.13 = 614,827.13 : x
  2. Step 2: Convert to fraction form
    510,397.88/614,827.13 = 614,827.13/x
  3. Step 3: Cross multiply
    510,397.88x = 614,827.13 × 614,827.13
  4. Step 4: Simplify right side
    510,397.88x = 378,012,393,635.77
  5. Step 5: Solve for x
    x = 378,012,393,635.77/510,397.88
  6. Step 6: Final answer
    x = 740,622.98

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.