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Finding the Third Proportional to 677,443.50 and 928,945.13

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Solution

The third proportional to 677,443.50 and 928,945.13 is: 1,273,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,443.50 : 928,945.13 = 928,945.13 : x
  2. Step 2: Convert to fraction form
    677,443.50/928,945.13 = 928,945.13/x
  3. Step 3: Cross multiply
    677,443.50x = 928,945.13 × 928,945.13
  4. Step 4: Simplify right side
    677,443.50x = 862,939,045,261.27
  5. Step 5: Solve for x
    x = 862,939,045,261.27/677,443.50
  6. Step 6: Final answer
    x = 1,273,817.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.