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Finding the Third Proportional to 304,375 and 473,141

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Solution

The third proportional to 304,375 and 473,141 is: 735,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,375 : 473,141 = 473,141 : x
  2. Step 2: Convert to fraction form
    304,375/473,141 = 473,141/x
  3. Step 3: Cross multiply
    304,375x = 473,141 × 473,141
  4. Step 4: Simplify right side
    304,375x = 223,862,405,881
  5. Step 5: Solve for x
    x = 223,862,405,881/304,375
  6. Step 6: Final answer
    x = 735,482.24

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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.