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Finding the Third Proportional to 304,301 and 473,674

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Solution

The third proportional to 304,301 and 473,674 is: 737,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,301 : 473,674 = 473,674 : x
  2. Step 2: Convert to fraction form
    304,301/473,674 = 473,674/x
  3. Step 3: Cross multiply
    304,301x = 473,674 × 473,674
  4. Step 4: Simplify right side
    304,301x = 224,367,058,276
  5. Step 5: Solve for x
    x = 224,367,058,276/304,301
  6. Step 6: Final answer
    x = 737,319.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.