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Finding the Third Proportional to 310,396 and 474,612

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Solution

The third proportional to 310,396 and 474,612 is: 725,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,396 : 474,612 = 474,612 : x
  2. Step 2: Convert to fraction form
    310,396/474,612 = 474,612/x
  3. Step 3: Cross multiply
    310,396x = 474,612 × 474,612
  4. Step 4: Simplify right side
    310,396x = 225,256,550,544
  5. Step 5: Solve for x
    x = 225,256,550,544/310,396
  6. Step 6: Final answer
    x = 725,707.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.