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Finding the Third Proportional to 234,506 and 363,588

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Solution

The third proportional to 234,506 and 363,588 is: 563,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,506 : 363,588 = 363,588 : x
  2. Step 2: Convert to fraction form
    234,506/363,588 = 363,588/x
  3. Step 3: Cross multiply
    234,506x = 363,588 × 363,588
  4. Step 4: Simplify right side
    234,506x = 132,196,233,744
  5. Step 5: Solve for x
    x = 132,196,233,744/234,506
  6. Step 6: Final answer
    x = 563,722.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.