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Finding the Third Proportional to 655,232 and 987,464

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Solution

The third proportional to 655,232 and 987,464 is: 1,488,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,232 : 987,464 = 987,464 : x
  2. Step 2: Convert to fraction form
    655,232/987,464 = 987,464/x
  3. Step 3: Cross multiply
    655,232x = 987,464 × 987,464
  4. Step 4: Simplify right side
    655,232x = 975,085,151,296
  5. Step 5: Solve for x
    x = 975,085,151,296/655,232
  6. Step 6: Final answer
    x = 1,488,152.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.