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Finding the Third Proportional to 304,080 and 470,883

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Solution

The third proportional to 304,080 and 470,883 is: 729,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,080 : 470,883 = 470,883 : x
  2. Step 2: Convert to fraction form
    304,080/470,883 = 470,883/x
  3. Step 3: Cross multiply
    304,080x = 470,883 × 470,883
  4. Step 4: Simplify right side
    304,080x = 221,730,799,689
  5. Step 5: Solve for x
    x = 221,730,799,689/304,080
  6. Step 6: Final answer
    x = 729,185.74

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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.