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Finding the Third Proportional to 334,920 and 732,816

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Solution

The third proportional to 334,920 and 732,816 is: 1,603,425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,920 : 732,816 = 732,816 : x
  2. Step 2: Convert to fraction form
    334,920/732,816 = 732,816/x
  3. Step 3: Cross multiply
    334,920x = 732,816 × 732,816
  4. Step 4: Simplify right side
    334,920x = 537,019,289,856
  5. Step 5: Solve for x
    x = 537,019,289,856/334,920
  6. Step 6: Final answer
    x = 1,603,425.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.