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Finding the Third Proportional to 292,524 and 633,024

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Solution

The third proportional to 292,524 and 633,024 is: 1,369,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,524 : 633,024 = 633,024 : x
  2. Step 2: Convert to fraction form
    292,524/633,024 = 633,024/x
  3. Step 3: Cross multiply
    292,524x = 633,024 × 633,024
  4. Step 4: Simplify right side
    292,524x = 400,719,384,576
  5. Step 5: Solve for x
    x = 400,719,384,576/292,524
  6. Step 6: Final answer
    x = 1,369,868.40

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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.