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Finding the Third Proportional to 343,150.69 and 495,037.03

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Solution

The third proportional to 343,150.69 and 495,037.03 is: 714,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,150.69 : 495,037.03 = 495,037.03 : x
  2. Step 2: Convert to fraction form
    343,150.69/495,037.03 = 495,037.03/x
  3. Step 3: Cross multiply
    343,150.69x = 495,037.03 × 495,037.03
  4. Step 4: Simplify right side
    343,150.69x = 245,061,662,308.81
  5. Step 5: Solve for x
    x = 245,061,662,308.81/343,150.69
  6. Step 6: Final answer
    x = 714,151.75

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.