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Finding the Third Proportional to 292,514 and 633,002

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Solution

The third proportional to 292,514 and 633,002 is: 1,369,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,514 : 633,002 = 633,002 : x
  2. Step 2: Convert to fraction form
    292,514/633,002 = 633,002/x
  3. Step 3: Cross multiply
    292,514x = 633,002 × 633,002
  4. Step 4: Simplify right side
    292,514x = 400,691,532,004
  5. Step 5: Solve for x
    x = 400,691,532,004/292,514
  6. Step 6: Final answer
    x = 1,369,820.02

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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.