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Finding the Third Proportional to 581,300 and 781,176

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Solution

The third proportional to 581,300 and 781,176 is: 1,049,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,300 : 781,176 = 781,176 : x
  2. Step 2: Convert to fraction form
    581,300/781,176 = 781,176/x
  3. Step 3: Cross multiply
    581,300x = 781,176 × 781,176
  4. Step 4: Simplify right side
    581,300x = 610,235,942,976
  5. Step 5: Solve for x
    x = 610,235,942,976/581,300
  6. Step 6: Final answer
    x = 1,049,777.99

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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.