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Finding the Third Proportional to 315,658 and 425,291

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Solution

The third proportional to 315,658 and 425,291 is: 573,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,658 : 425,291 = 425,291 : x
  2. Step 2: Convert to fraction form
    315,658/425,291 = 425,291/x
  3. Step 3: Cross multiply
    315,658x = 425,291 × 425,291
  4. Step 4: Simplify right side
    315,658x = 180,872,434,681
  5. Step 5: Solve for x
    x = 180,872,434,681/315,658
  6. Step 6: Final answer
    x = 573,001.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.