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Finding the Third Proportional to 314,706 and 474,670

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Solution

The third proportional to 314,706 and 474,670 is: 715,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,706 : 474,670 = 474,670 : x
  2. Step 2: Convert to fraction form
    314,706/474,670 = 474,670/x
  3. Step 3: Cross multiply
    314,706x = 474,670 × 474,670
  4. Step 4: Simplify right side
    314,706x = 225,311,608,900
  5. Step 5: Solve for x
    x = 225,311,608,900/314,706
  6. Step 6: Final answer
    x = 715,943.16

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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.