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Finding the Third Proportional to 340,920 and 744,048

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Solution

The third proportional to 340,920 and 744,048 is: 1,623,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,920 : 744,048 = 744,048 : x
  2. Step 2: Convert to fraction form
    340,920/744,048 = 744,048/x
  3. Step 3: Cross multiply
    340,920x = 744,048 × 744,048
  4. Step 4: Simplify right side
    340,920x = 553,607,426,304
  5. Step 5: Solve for x
    x = 553,607,426,304/340,920
  6. Step 6: Final answer
    x = 1,623,863.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.