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Finding the Third Proportional to 328,932 and 708,620

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Solution

The third proportional to 328,932 and 708,620 is: 1,526,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,932 : 708,620 = 708,620 : x
  2. Step 2: Convert to fraction form
    328,932/708,620 = 708,620/x
  3. Step 3: Cross multiply
    328,932x = 708,620 × 708,620
  4. Step 4: Simplify right side
    328,932x = 502,142,304,400
  5. Step 5: Solve for x
    x = 502,142,304,400/328,932
  6. Step 6: Final answer
    x = 1,526,583.93

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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.