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Finding the Third Proportional to 367,776 and 535,680

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Solution

The third proportional to 367,776 and 535,680 is: 780,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,776 : 535,680 = 535,680 : x
  2. Step 2: Convert to fraction form
    367,776/535,680 = 535,680/x
  3. Step 3: Cross multiply
    367,776x = 535,680 × 535,680
  4. Step 4: Simplify right side
    367,776x = 286,953,062,400
  5. Step 5: Solve for x
    x = 286,953,062,400/367,776
  6. Step 6: Final answer
    x = 780,238.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.