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Finding the Third Proportional to 437,952 and 639,705

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Solution

The third proportional to 437,952 and 639,705 is: 934,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,952 : 639,705 = 639,705 : x
  2. Step 2: Convert to fraction form
    437,952/639,705 = 639,705/x
  3. Step 3: Cross multiply
    437,952x = 639,705 × 639,705
  4. Step 4: Simplify right side
    437,952x = 409,222,487,025
  5. Step 5: Solve for x
    x = 409,222,487,025/437,952
  6. Step 6: Final answer
    x = 934,400.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.