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Finding the Third Proportional to 632,574 and 925,134

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Solution

The third proportional to 632,574 and 925,134 is: 1,353,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,574 : 925,134 = 925,134 : x
  2. Step 2: Convert to fraction form
    632,574/925,134 = 925,134/x
  3. Step 3: Cross multiply
    632,574x = 925,134 × 925,134
  4. Step 4: Simplify right side
    632,574x = 855,872,917,956
  5. Step 5: Solve for x
    x = 855,872,917,956/632,574
  6. Step 6: Final answer
    x = 1,353,000.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.