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Finding the Third Proportional to 441,068 and 648,683

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Solution

The third proportional to 441,068 and 648,683 is: 954,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,068 : 648,683 = 648,683 : x
  2. Step 2: Convert to fraction form
    441,068/648,683 = 648,683/x
  3. Step 3: Cross multiply
    441,068x = 648,683 × 648,683
  4. Step 4: Simplify right side
    441,068x = 420,789,634,489
  5. Step 5: Solve for x
    x = 420,789,634,489/441,068
  6. Step 6: Final answer
    x = 954,024.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.