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Finding the Third Proportional to 365,047.50 and 780,540

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Solution

The third proportional to 365,047.50 and 780,540 is: 1,668,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,047.50 : 780,540 = 780,540 : x
  2. Step 2: Convert to fraction form
    365,047.50/780,540 = 780,540/x
  3. Step 3: Cross multiply
    365,047.50x = 780,540 × 780,540
  4. Step 4: Simplify right side
    365,047.50x = 609,242,691,600
  5. Step 5: Solve for x
    x = 609,242,691,600/365,047.50
  6. Step 6: Final answer
    x = 1,668,940.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.