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Finding the Third Proportional to 535,281.75 and 788,136.38

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Solution

The third proportional to 535,281.75 and 788,136.38 is: 1,160,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,281.75 : 788,136.38 = 788,136.38 : x
  2. Step 2: Convert to fraction form
    535,281.75/788,136.38 = 788,136.38/x
  3. Step 3: Cross multiply
    535,281.75x = 788,136.38 × 788,136.38
  4. Step 4: Simplify right side
    535,281.75x = 621,158,945,598.14
  5. Step 5: Solve for x
    x = 621,158,945,598.14/535,281.75
  6. Step 6: Final answer
    x = 1,160,433.63

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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.