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Finding the Third Proportional to 624,084 and 940,530

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Solution

The third proportional to 624,084 and 940,530 is: 1,417,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,084 : 940,530 = 940,530 : x
  2. Step 2: Convert to fraction form
    624,084/940,530 = 940,530/x
  3. Step 3: Cross multiply
    624,084x = 940,530 × 940,530
  4. Step 4: Simplify right side
    624,084x = 884,596,680,900
  5. Step 5: Solve for x
    x = 884,596,680,900/624,084
  6. Step 6: Final answer
    x = 1,417,432.08

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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.