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Finding the Third Proportional to 572,317 and 777,282

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Solution

The third proportional to 572,317 and 777,282 is: 1,055,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,317 : 777,282 = 777,282 : x
  2. Step 2: Convert to fraction form
    572,317/777,282 = 777,282/x
  3. Step 3: Cross multiply
    572,317x = 777,282 × 777,282
  4. Step 4: Simplify right side
    572,317x = 604,167,307,524
  5. Step 5: Solve for x
    x = 604,167,307,524/572,317
  6. Step 6: Final answer
    x = 1,055,651.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.