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Finding the Third Proportional to 442,008 and 679,792

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Solution

The third proportional to 442,008 and 679,792 is: 1,045,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,008 : 679,792 = 679,792 : x
  2. Step 2: Convert to fraction form
    442,008/679,792 = 679,792/x
  3. Step 3: Cross multiply
    442,008x = 679,792 × 679,792
  4. Step 4: Simplify right side
    442,008x = 462,117,163,264
  5. Step 5: Solve for x
    x = 462,117,163,264/442,008
  6. Step 6: Final answer
    x = 1,045,495.02

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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.