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Finding the Third Proportional to 360,102 and 785,000

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Solution

The third proportional to 360,102 and 785,000 is: 1,711,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,102 : 785,000 = 785,000 : x
  2. Step 2: Convert to fraction form
    360,102/785,000 = 785,000/x
  3. Step 3: Cross multiply
    360,102x = 785,000 × 785,000
  4. Step 4: Simplify right side
    360,102x = 616,225,000,000
  5. Step 5: Solve for x
    x = 616,225,000,000/360,102
  6. Step 6: Final answer
    x = 1,711,251.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.