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Finding the Third Proportional to 343,134 and 495,016.50

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Solution

The third proportional to 343,134 and 495,016.50 is: 714,127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,134 : 495,016.50 = 495,016.50 : x
  2. Step 2: Convert to fraction form
    343,134/495,016.50 = 495,016.50/x
  3. Step 3: Cross multiply
    343,134x = 495,016.50 × 495,016.50
  4. Step 4: Simplify right side
    343,134x = 245,041,335,272.25
  5. Step 5: Solve for x
    x = 245,041,335,272.25/343,134
  6. Step 6: Final answer
    x = 714,127.24

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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.