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Finding the Third Proportional to 352,574 and 529,638

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Solution

The third proportional to 352,574 and 529,638 is: 795,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,574 : 529,638 = 529,638 : x
  2. Step 2: Convert to fraction form
    352,574/529,638 = 529,638/x
  3. Step 3: Cross multiply
    352,574x = 529,638 × 529,638
  4. Step 4: Simplify right side
    352,574x = 280,516,411,044
  5. Step 5: Solve for x
    x = 280,516,411,044/352,574
  6. Step 6: Final answer
    x = 795,624.21

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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.