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Finding the Third Proportional to 304,370 and 473,132

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Solution

The third proportional to 304,370 and 473,132 is: 735,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,370 : 473,132 = 473,132 : x
  2. Step 2: Convert to fraction form
    304,370/473,132 = 473,132/x
  3. Step 3: Cross multiply
    304,370x = 473,132 × 473,132
  4. Step 4: Simplify right side
    304,370x = 223,853,889,424
  5. Step 5: Solve for x
    x = 223,853,889,424/304,370
  6. Step 6: Final answer
    x = 735,466.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.