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Finding the Third Proportional to 442,480 and 680,508

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Solution

The third proportional to 442,480 and 680,508 is: 1,046,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,480 : 680,508 = 680,508 : x
  2. Step 2: Convert to fraction form
    442,480/680,508 = 680,508/x
  3. Step 3: Cross multiply
    442,480x = 680,508 × 680,508
  4. Step 4: Simplify right side
    442,480x = 463,091,138,064
  5. Step 5: Solve for x
    x = 463,091,138,064/442,480
  6. Step 6: Final answer
    x = 1,046,580.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.