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Finding the Third Proportional to 352,557 and 529,614

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Solution

The third proportional to 352,557 and 529,614 is: 795,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,557 : 529,614 = 529,614 : x
  2. Step 2: Convert to fraction form
    352,557/529,614 = 529,614/x
  3. Step 3: Cross multiply
    352,557x = 529,614 × 529,614
  4. Step 4: Simplify right side
    352,557x = 280,490,988,996
  5. Step 5: Solve for x
    x = 280,490,988,996/352,557
  6. Step 6: Final answer
    x = 795,590.47

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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.