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Finding the Third Proportional to 429,024 and 642,708

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Solution

The third proportional to 429,024 and 642,708 is: 962,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,024 : 642,708 = 642,708 : x
  2. Step 2: Convert to fraction form
    429,024/642,708 = 642,708/x
  3. Step 3: Cross multiply
    429,024x = 642,708 × 642,708
  4. Step 4: Simplify right side
    429,024x = 413,073,573,264
  5. Step 5: Solve for x
    x = 413,073,573,264/429,024
  6. Step 6: Final answer
    x = 962,821.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.