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Finding the Third Proportional to 292,323 and 631,275

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Solution

The third proportional to 292,323 and 631,275 is: 1,363,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,323 : 631,275 = 631,275 : x
  2. Step 2: Convert to fraction form
    292,323/631,275 = 631,275/x
  3. Step 3: Cross multiply
    292,323x = 631,275 × 631,275
  4. Step 4: Simplify right side
    292,323x = 398,508,125,625
  5. Step 5: Solve for x
    x = 398,508,125,625/292,323
  6. Step 6: Final answer
    x = 1,363,245.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.