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Finding the Third Proportional to 424,908 and 652,218

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Solution

The third proportional to 424,908 and 652,218 is: 1,001,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,908 : 652,218 = 652,218 : x
  2. Step 2: Convert to fraction form
    424,908/652,218 = 652,218/x
  3. Step 3: Cross multiply
    424,908x = 652,218 × 652,218
  4. Step 4: Simplify right side
    424,908x = 425,388,319,524
  5. Step 5: Solve for x
    x = 425,388,319,524/424,908
  6. Step 6: Final answer
    x = 1,001,130.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.