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Finding the Third Proportional to 704,548.13 and 943,867.69

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Solution

The third proportional to 704,548.13 and 943,867.69 is: 1,264,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,548.13 : 943,867.69 = 943,867.69 : x
  2. Step 2: Convert to fraction form
    704,548.13/943,867.69 = 943,867.69/x
  3. Step 3: Cross multiply
    704,548.13x = 943,867.69 × 943,867.69
  4. Step 4: Simplify right side
    704,548.13x = 890,886,211,506.60
  5. Step 5: Solve for x
    x = 890,886,211,506.60/704,548.13
  6. Step 6: Final answer
    x = 1,264,478.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.