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Finding the Third Proportional to 413,766 and 602,667

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Solution

The third proportional to 413,766 and 602,667 is: 877,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,766 : 602,667 = 602,667 : x
  2. Step 2: Convert to fraction form
    413,766/602,667 = 602,667/x
  3. Step 3: Cross multiply
    413,766x = 602,667 × 602,667
  4. Step 4: Simplify right side
    413,766x = 363,207,512,889
  5. Step 5: Solve for x
    x = 363,207,512,889/413,766
  6. Step 6: Final answer
    x = 877,808.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.