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Finding the Third Proportional to 415,242 and 650,535

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Solution

The third proportional to 415,242 and 650,535 is: 1,019,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,242 : 650,535 = 650,535 : x
  2. Step 2: Convert to fraction form
    415,242/650,535 = 650,535/x
  3. Step 3: Cross multiply
    415,242x = 650,535 × 650,535
  4. Step 4: Simplify right side
    415,242x = 423,195,786,225
  5. Step 5: Solve for x
    x = 423,195,786,225/415,242
  6. Step 6: Final answer
    x = 1,019,154.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.