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Finding the Third Proportional to 445,641 and 658,633

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Solution

The third proportional to 445,641 and 658,633 is: 973,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,641 : 658,633 = 658,633 : x
  2. Step 2: Convert to fraction form
    445,641/658,633 = 658,633/x
  3. Step 3: Cross multiply
    445,641x = 658,633 × 658,633
  4. Step 4: Simplify right side
    445,641x = 433,797,428,689
  5. Step 5: Solve for x
    x = 433,797,428,689/445,641
  6. Step 6: Final answer
    x = 973,423.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.