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Finding the Third Proportional to 560,947.78 and 841,212.84

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Solution

The third proportional to 560,947.78 and 841,212.84 is: 1,261,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,947.78 : 841,212.84 = 841,212.84 : x
  2. Step 2: Convert to fraction form
    560,947.78/841,212.84 = 841,212.84/x
  3. Step 3: Cross multiply
    560,947.78x = 841,212.84 × 841,212.84
  4. Step 4: Simplify right side
    560,947.78x = 707,639,048,489.96
  5. Step 5: Solve for x
    x = 707,639,048,489.96/560,947.78
  6. Step 6: Final answer
    x = 1,261,506.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.