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Finding the Third Proportional to 292,513 and 633,001

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Solution

The third proportional to 292,513 and 633,001 is: 1,369,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,513 : 633,001 = 633,001 : x
  2. Step 2: Convert to fraction form
    292,513/633,001 = 633,001/x
  3. Step 3: Cross multiply
    292,513x = 633,001 × 633,001
  4. Step 4: Simplify right side
    292,513x = 400,690,266,001
  5. Step 5: Solve for x
    x = 400,690,266,001/292,513
  6. Step 6: Final answer
    x = 1,369,820.37

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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.