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Finding the Third Proportional to 429,408 and 567,765

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Solution

The third proportional to 429,408 and 567,765 is: 750,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,408 : 567,765 = 567,765 : x
  2. Step 2: Convert to fraction form
    429,408/567,765 = 567,765/x
  3. Step 3: Cross multiply
    429,408x = 567,765 × 567,765
  4. Step 4: Simplify right side
    429,408x = 322,357,095,225
  5. Step 5: Solve for x
    x = 322,357,095,225/429,408
  6. Step 6: Final answer
    x = 750,701.19

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