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Finding the Third Proportional to 304,364.25 and 473,124.38

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Solution

The third proportional to 304,364.25 and 473,124.38 is: 735,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,364.25 : 473,124.38 = 473,124.38 : x
  2. Step 2: Convert to fraction form
    304,364.25/473,124.38 = 473,124.38/x
  3. Step 3: Cross multiply
    304,364.25x = 473,124.38 × 473,124.38
  4. Step 4: Simplify right side
    304,364.25x = 223,846,674,219.14
  5. Step 5: Solve for x
    x = 223,846,674,219.14/304,364.25
  6. Step 6: Final answer
    x = 735,456.53

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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.