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Finding the Third Proportional to 501,931.75 and 764,657.75

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Solution

The third proportional to 501,931.75 and 764,657.75 is: 1,164,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,931.75 : 764,657.75 = 764,657.75 : x
  2. Step 2: Convert to fraction form
    501,931.75/764,657.75 = 764,657.75/x
  3. Step 3: Cross multiply
    501,931.75x = 764,657.75 × 764,657.75
  4. Step 4: Simplify right side
    501,931.75x = 584,701,474,635.06
  5. Step 5: Solve for x
    x = 584,701,474,635.06/501,931.75
  6. Step 6: Final answer
    x = 1,164,902.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.