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Finding the Third Proportional to 309,664.69 and 452,547.56

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Solution

The third proportional to 309,664.69 and 452,547.56 is: 661,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,664.69 : 452,547.56 = 452,547.56 : x
  2. Step 2: Convert to fraction form
    309,664.69/452,547.56 = 452,547.56/x
  3. Step 3: Cross multiply
    309,664.69x = 452,547.56 × 452,547.56
  4. Step 4: Simplify right side
    309,664.69x = 204,799,296,324.69
  5. Step 5: Solve for x
    x = 204,799,296,324.69/309,664.69
  6. Step 6: Final answer
    x = 661,358.25

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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.