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Finding the Third Proportional to 352,394 and 536,853

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Solution

The third proportional to 352,394 and 536,853 is: 817,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,394 : 536,853 = 536,853 : x
  2. Step 2: Convert to fraction form
    352,394/536,853 = 536,853/x
  3. Step 3: Cross multiply
    352,394x = 536,853 × 536,853
  4. Step 4: Simplify right side
    352,394x = 288,211,143,609
  5. Step 5: Solve for x
    x = 288,211,143,609/352,394
  6. Step 6: Final answer
    x = 817,866.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.