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Finding the Third Proportional to 664,200 and 1,031,292

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Solution

The third proportional to 664,200 and 1,031,292 is: 1,601,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,200 : 1,031,292 = 1,031,292 : x
  2. Step 2: Convert to fraction form
    664,200/1,031,292 = 1,031,292/x
  3. Step 3: Cross multiply
    664,200x = 1,031,292 × 1,031,292
  4. Step 4: Simplify right side
    664,200x = 1,063,563,189,264
  5. Step 5: Solve for x
    x = 1,063,563,189,264/664,200
  6. Step 6: Final answer
    x = 1,601,269.48

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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.