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Finding the Third Proportional to 429,340 and 564,738

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Solution

The third proportional to 429,340 and 564,738 is: 742,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,340 : 564,738 = 564,738 : x
  2. Step 2: Convert to fraction form
    429,340/564,738 = 564,738/x
  3. Step 3: Cross multiply
    429,340x = 564,738 × 564,738
  4. Step 4: Simplify right side
    429,340x = 318,929,008,644
  5. Step 5: Solve for x
    x = 318,929,008,644/429,340
  6. Step 6: Final answer
    x = 742,835.54

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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.