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Finding the Third Proportional to 462,726 and 630,372

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Solution

The third proportional to 462,726 and 630,372 is: 858,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,726 : 630,372 = 630,372 : x
  2. Step 2: Convert to fraction form
    462,726/630,372 = 630,372/x
  3. Step 3: Cross multiply
    462,726x = 630,372 × 630,372
  4. Step 4: Simplify right side
    462,726x = 397,368,858,384
  5. Step 5: Solve for x
    x = 397,368,858,384/462,726
  6. Step 6: Final answer
    x = 858,756.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.