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Finding the Third Proportional to 309,673.13 and 452,562.19

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Solution

The third proportional to 309,673.13 and 452,562.19 is: 661,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,673.13 : 452,562.19 = 452,562.19 : x
  2. Step 2: Convert to fraction form
    309,673.13/452,562.19 = 452,562.19/x
  3. Step 3: Cross multiply
    309,673.13x = 452,562.19 × 452,562.19
  4. Step 4: Simplify right side
    309,673.13x = 204,812,533,554.79
  5. Step 5: Solve for x
    x = 204,812,533,554.79/309,673.13
  6. Step 6: Final answer
    x = 661,382.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.