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Finding the Third Proportional to 427,458 and 664,521

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Solution

The third proportional to 427,458 and 664,521 is: 1,033,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,458 : 664,521 = 664,521 : x
  2. Step 2: Convert to fraction form
    427,458/664,521 = 664,521/x
  3. Step 3: Cross multiply
    427,458x = 664,521 × 664,521
  4. Step 4: Simplify right side
    427,458x = 441,588,159,441
  5. Step 5: Solve for x
    x = 441,588,159,441/427,458
  6. Step 6: Final answer
    x = 1,033,056.25

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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.