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Finding the Third Proportional to 587,916 and 908,388

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Solution

The third proportional to 587,916 and 908,388 is: 1,403,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,916 : 908,388 = 908,388 : x
  2. Step 2: Convert to fraction form
    587,916/908,388 = 908,388/x
  3. Step 3: Cross multiply
    587,916x = 908,388 × 908,388
  4. Step 4: Simplify right side
    587,916x = 825,168,758,544
  5. Step 5: Solve for x
    x = 825,168,758,544/587,916
  6. Step 6: Final answer
    x = 1,403,548.74

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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.