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Finding the Third Proportional to 474,387 and 738,796.50

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Solution

The third proportional to 474,387 and 738,796.50 is: 1,150,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,387 : 738,796.50 = 738,796.50 : x
  2. Step 2: Convert to fraction form
    474,387/738,796.50 = 738,796.50/x
  3. Step 3: Cross multiply
    474,387x = 738,796.50 × 738,796.50
  4. Step 4: Simplify right side
    474,387x = 545,820,268,412.25
  5. Step 5: Solve for x
    x = 545,820,268,412.25/474,387
  6. Step 6: Final answer
    x = 1,150,580.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.