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Finding the Third Proportional to 429,412 and 567,771

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Solution

The third proportional to 429,412 and 567,771 is: 750,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,412 : 567,771 = 567,771 : x
  2. Step 2: Convert to fraction form
    429,412/567,771 = 567,771/x
  3. Step 3: Cross multiply
    429,412x = 567,771 × 567,771
  4. Step 4: Simplify right side
    429,412x = 322,363,908,441
  5. Step 5: Solve for x
    x = 322,363,908,441/429,412
  6. Step 6: Final answer
    x = 750,710.06

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.