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Finding the Third Proportional to 464,998 and 658,154

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Solution

The third proportional to 464,998 and 658,154 is: 931,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,998 : 658,154 = 658,154 : x
  2. Step 2: Convert to fraction form
    464,998/658,154 = 658,154/x
  3. Step 3: Cross multiply
    464,998x = 658,154 × 658,154
  4. Step 4: Simplify right side
    464,998x = 433,166,687,716
  5. Step 5: Solve for x
    x = 433,166,687,716/464,998
  6. Step 6: Final answer
    x = 931,545.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.