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Finding the Third Proportional to 375,360 and 781,785

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Solution

The third proportional to 375,360 and 781,785 is: 1,628,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,360 : 781,785 = 781,785 : x
  2. Step 2: Convert to fraction form
    375,360/781,785 = 781,785/x
  3. Step 3: Cross multiply
    375,360x = 781,785 × 781,785
  4. Step 4: Simplify right side
    375,360x = 611,187,786,225
  5. Step 5: Solve for x
    x = 611,187,786,225/375,360
  6. Step 6: Final answer
    x = 1,628,270.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.