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Finding the Third Proportional to 487,094 and 764,295

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Solution

The third proportional to 487,094 and 764,295 is: 1,199,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,094 : 764,295 = 764,295 : x
  2. Step 2: Convert to fraction form
    487,094/764,295 = 764,295/x
  3. Step 3: Cross multiply
    487,094x = 764,295 × 764,295
  4. Step 4: Simplify right side
    487,094x = 584,146,847,025
  5. Step 5: Solve for x
    x = 584,146,847,025/487,094
  6. Step 6: Final answer
    x = 1,199,248.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.