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Finding the Third Proportional to 240,789 and 569,433

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Solution

The third proportional to 240,789 and 569,433 is: 1,346,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,789 : 569,433 = 569,433 : x
  2. Step 2: Convert to fraction form
    240,789/569,433 = 569,433/x
  3. Step 3: Cross multiply
    240,789x = 569,433 × 569,433
  4. Step 4: Simplify right side
    240,789x = 324,253,941,489
  5. Step 5: Solve for x
    x = 324,253,941,489/240,789
  6. Step 6: Final answer
    x = 1,346,631.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.