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Finding the Third Proportional to 581,302 and 781,179

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Solution

The third proportional to 581,302 and 781,179 is: 1,049,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,302 : 781,179 = 781,179 : x
  2. Step 2: Convert to fraction form
    581,302/781,179 = 781,179/x
  3. Step 3: Cross multiply
    581,302x = 781,179 × 781,179
  4. Step 4: Simplify right side
    581,302x = 610,240,630,041
  5. Step 5: Solve for x
    x = 610,240,630,041/581,302
  6. Step 6: Final answer
    x = 1,049,782.44

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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.