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Finding the Third Proportional to 315,522 and 425,142

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Solution

The third proportional to 315,522 and 425,142 is: 572,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,522 : 425,142 = 425,142 : x
  2. Step 2: Convert to fraction form
    315,522/425,142 = 425,142/x
  3. Step 3: Cross multiply
    315,522x = 425,142 × 425,142
  4. Step 4: Simplify right side
    315,522x = 180,745,720,164
  5. Step 5: Solve for x
    x = 180,745,720,164/315,522
  6. Step 6: Final answer
    x = 572,846.65

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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.