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Finding the Third Proportional to 765,225 and 1,670,332.50

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Solution

The third proportional to 765,225 and 1,670,332.50 is: 3,646,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,225 : 1,670,332.50 = 1,670,332.50 : x
  2. Step 2: Convert to fraction form
    765,225/1,670,332.50 = 1,670,332.50/x
  3. Step 3: Cross multiply
    765,225x = 1,670,332.50 × 1,670,332.50
  4. Step 4: Simplify right side
    765,225x = 2,790,010,660,556.25
  5. Step 5: Solve for x
    x = 2,790,010,660,556.25/765,225
  6. Step 6: Final answer
    x = 3,646,000.41

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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.