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Finding the Third Proportional to 664,257 and 1,031,379

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Solution

The third proportional to 664,257 and 1,031,379 is: 1,601,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,257 : 1,031,379 = 1,031,379 : x
  2. Step 2: Convert to fraction form
    664,257/1,031,379 = 1,031,379/x
  3. Step 3: Cross multiply
    664,257x = 1,031,379 × 1,031,379
  4. Step 4: Simplify right side
    664,257x = 1,063,742,641,641
  5. Step 5: Solve for x
    x = 1,063,742,641,641/664,257
  6. Step 6: Final answer
    x = 1,601,402.23

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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.