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Finding the Third Proportional to 352,425 and 567,459

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Solution

The third proportional to 352,425 and 567,459 is: 913,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,425 : 567,459 = 567,459 : x
  2. Step 2: Convert to fraction form
    352,425/567,459 = 567,459/x
  3. Step 3: Cross multiply
    352,425x = 567,459 × 567,459
  4. Step 4: Simplify right side
    352,425x = 322,009,716,681
  5. Step 5: Solve for x
    x = 322,009,716,681/352,425
  6. Step 6: Final answer
    x = 913,697.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.