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Finding the Third Proportional to 314,697.38 and 474,658.88

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Solution

The third proportional to 314,697.38 and 474,658.88 is: 715,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,697.38 : 474,658.88 = 474,658.88 : x
  2. Step 2: Convert to fraction form
    314,697.38/474,658.88 = 474,658.88/x
  3. Step 3: Cross multiply
    314,697.38x = 474,658.88 × 474,658.88
  4. Step 4: Simplify right side
    314,697.38x = 225,301,047,616.27
  5. Step 5: Solve for x
    x = 225,301,047,616.27/314,697.38
  6. Step 6: Final answer
    x = 715,929.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.