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Finding the Third Proportional to 292,324 and 631,277

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Solution

The third proportional to 292,324 and 631,277 is: 1,363,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,324 : 631,277 = 631,277 : x
  2. Step 2: Convert to fraction form
    292,324/631,277 = 631,277/x
  3. Step 3: Cross multiply
    292,324x = 631,277 × 631,277
  4. Step 4: Simplify right side
    292,324x = 398,510,650,729
  5. Step 5: Solve for x
    x = 398,510,650,729/292,324
  6. Step 6: Final answer
    x = 1,363,249.86

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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.