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Finding the Third Proportional to 314,707 and 474,674

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Solution

The third proportional to 314,707 and 474,674 is: 715,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,707 : 474,674 = 474,674 : x
  2. Step 2: Convert to fraction form
    314,707/474,674 = 474,674/x
  3. Step 3: Cross multiply
    314,707x = 474,674 × 474,674
  4. Step 4: Simplify right side
    314,707x = 225,315,406,276
  5. Step 5: Solve for x
    x = 225,315,406,276/314,707
  6. Step 6: Final answer
    x = 715,952.95

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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.