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Finding the Third Proportional to 535,278.38 and 788,132.53

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Solution

The third proportional to 535,278.38 and 788,132.53 is: 1,160,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,278.38 : 788,132.53 = 788,132.53 : x
  2. Step 2: Convert to fraction form
    535,278.38/788,132.53 = 788,132.53/x
  3. Step 3: Cross multiply
    535,278.38x = 788,132.53 × 788,132.53
  4. Step 4: Simplify right side
    535,278.38x = 621,152,886,814.53
  5. Step 5: Solve for x
    x = 621,152,886,814.53/535,278.38
  6. Step 6: Final answer
    x = 1,160,429.63

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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.