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Finding the Third Proportional to 663,440 and 998,488

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Solution

The third proportional to 663,440 and 998,488 is: 1,502,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,440 : 998,488 = 998,488 : x
  2. Step 2: Convert to fraction form
    663,440/998,488 = 998,488/x
  3. Step 3: Cross multiply
    663,440x = 998,488 × 998,488
  4. Step 4: Simplify right side
    663,440x = 996,978,286,144
  5. Step 5: Solve for x
    x = 996,978,286,144/663,440
  6. Step 6: Final answer
    x = 1,502,740.69

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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.