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Finding the Third Proportional to 360,098 and 776,020

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Solution

The third proportional to 360,098 and 776,020 is: 1,672,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,098 : 776,020 = 776,020 : x
  2. Step 2: Convert to fraction form
    360,098/776,020 = 776,020/x
  3. Step 3: Cross multiply
    360,098x = 776,020 × 776,020
  4. Step 4: Simplify right side
    360,098x = 602,207,040,400
  5. Step 5: Solve for x
    x = 602,207,040,400/360,098
  6. Step 6: Final answer
    x = 1,672,342.09

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Why These Related Problems?

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