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Finding the Third Proportional to 304,210.69 and 658,378.13

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Solution

The third proportional to 304,210.69 and 658,378.13 is: 1,424,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,210.69 : 658,378.13 = 658,378.13 : x
  2. Step 2: Convert to fraction form
    304,210.69/658,378.13 = 658,378.13/x
  3. Step 3: Cross multiply
    304,210.69x = 658,378.13 × 658,378.13
  4. Step 4: Simplify right side
    304,210.69x = 433,461,755,478.52
  5. Step 5: Solve for x
    x = 433,461,755,478.52/304,210.69
  6. Step 6: Final answer
    x = 1,424,873.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.