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Finding the Third Proportional to 352,532 and 529,587

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Solution

The third proportional to 352,532 and 529,587 is: 795,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,532 : 529,587 = 529,587 : x
  2. Step 2: Convert to fraction form
    352,532/529,587 = 529,587/x
  3. Step 3: Cross multiply
    352,532x = 529,587 × 529,587
  4. Step 4: Simplify right side
    352,532x = 280,462,390,569
  5. Step 5: Solve for x
    x = 280,462,390,569/352,532
  6. Step 6: Final answer
    x = 795,565.77

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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.