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Finding the Third Proportional to 328,464 and 706,033.13

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Solution

The third proportional to 328,464 and 706,033.13 is: 1,517,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,464 : 706,033.13 = 706,033.13 : x
  2. Step 2: Convert to fraction form
    328,464/706,033.13 = 706,033.13/x
  3. Step 3: Cross multiply
    328,464x = 706,033.13 × 706,033.13
  4. Step 4: Simplify right side
    328,464x = 498,482,773,597.27
  5. Step 5: Solve for x
    x = 498,482,773,597.27/328,464
  6. Step 6: Final answer
    x = 1,517,617.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.