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Finding the Third Proportional to 535,287 and 788,143

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Solution

The third proportional to 535,287 and 788,143 is: 1,160,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,287 : 788,143 = 788,143 : x
  2. Step 2: Convert to fraction form
    535,287/788,143 = 788,143/x
  3. Step 3: Cross multiply
    535,287x = 788,143 × 788,143
  4. Step 4: Simplify right side
    535,287x = 621,169,388,449
  5. Step 5: Solve for x
    x = 621,169,388,449/535,287
  6. Step 6: Final answer
    x = 1,160,441.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.