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Finding the Third Proportional to 305,542.13 and 448,948.13

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Solution

The third proportional to 305,542.13 and 448,948.13 is: 659,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,542.13 : 448,948.13 = 448,948.13 : x
  2. Step 2: Convert to fraction form
    305,542.13/448,948.13 = 448,948.13/x
  3. Step 3: Cross multiply
    305,542.13x = 448,948.13 × 448,948.13
  4. Step 4: Simplify right side
    305,542.13x = 201,554,418,941.02
  5. Step 5: Solve for x
    x = 201,554,418,941.02/305,542.13
  6. Step 6: Final answer
    x = 659,661.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.