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Finding the Third Proportional to 329,674 and 710,540

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Solution

The third proportional to 329,674 and 710,540 is: 1,531,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,674 : 710,540 = 710,540 : x
  2. Step 2: Convert to fraction form
    329,674/710,540 = 710,540/x
  3. Step 3: Cross multiply
    329,674x = 710,540 × 710,540
  4. Step 4: Simplify right side
    329,674x = 504,867,091,600
  5. Step 5: Solve for x
    x = 504,867,091,600/329,674
  6. Step 6: Final answer
    x = 1,531,413.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.