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Finding the Third Proportional to 615,792.75 and 980,604.75

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Solution

The third proportional to 615,792.75 and 980,604.75 is: 1,561,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,792.75 : 980,604.75 = 980,604.75 : x
  2. Step 2: Convert to fraction form
    615,792.75/980,604.75 = 980,604.75/x
  3. Step 3: Cross multiply
    615,792.75x = 980,604.75 × 980,604.75
  4. Step 4: Simplify right side
    615,792.75x = 961,585,675,722.56
  5. Step 5: Solve for x
    x = 961,585,675,722.56/615,792.75
  6. Step 6: Final answer
    x = 1,561,541.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.