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Finding the Third Proportional to 658,496 and 996,924

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Solution

The third proportional to 658,496 and 996,924 is: 1,509,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,496 : 996,924 = 996,924 : x
  2. Step 2: Convert to fraction form
    658,496/996,924 = 996,924/x
  3. Step 3: Cross multiply
    658,496x = 996,924 × 996,924
  4. Step 4: Simplify right side
    658,496x = 993,857,461,776
  5. Step 5: Solve for x
    x = 993,857,461,776/658,496
  6. Step 6: Final answer
    x = 1,509,283.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.