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Finding the Third Proportional to 438,740 and 663,510

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Solution

The third proportional to 438,740 and 663,510 is: 1,003,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,740 : 663,510 = 663,510 : x
  2. Step 2: Convert to fraction form
    438,740/663,510 = 663,510/x
  3. Step 3: Cross multiply
    438,740x = 663,510 × 663,510
  4. Step 4: Simplify right side
    438,740x = 440,245,520,100
  5. Step 5: Solve for x
    x = 440,245,520,100/438,740
  6. Step 6: Final answer
    x = 1,003,431.46

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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.