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Finding the Third Proportional to 314,702 and 474,664

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Solution

The third proportional to 314,702 and 474,664 is: 715,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,702 : 474,664 = 474,664 : x
  2. Step 2: Convert to fraction form
    314,702/474,664 = 474,664/x
  3. Step 3: Cross multiply
    314,702x = 474,664 × 474,664
  4. Step 4: Simplify right side
    314,702x = 225,305,912,896
  5. Step 5: Solve for x
    x = 225,305,912,896/314,702
  6. Step 6: Final answer
    x = 715,934.16

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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.