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Finding the Third Proportional to 304,380 and 473,145.75

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Solution

The third proportional to 304,380 and 473,145.75 is: 735,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,380 : 473,145.75 = 473,145.75 : x
  2. Step 2: Convert to fraction form
    304,380/473,145.75 = 473,145.75/x
  3. Step 3: Cross multiply
    304,380x = 473,145.75 × 473,145.75
  4. Step 4: Simplify right side
    304,380x = 223,866,900,743.06
  5. Step 5: Solve for x
    x = 223,866,900,743.06/304,380
  6. Step 6: Final answer
    x = 735,484.92

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