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Finding the Third Proportional to 343,147 and 495,031.50

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Solution

The third proportional to 343,147 and 495,031.50 is: 714,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,147 : 495,031.50 = 495,031.50 : x
  2. Step 2: Convert to fraction form
    343,147/495,031.50 = 495,031.50/x
  3. Step 3: Cross multiply
    343,147x = 495,031.50 × 495,031.50
  4. Step 4: Simplify right side
    343,147x = 245,056,185,992.25
  5. Step 5: Solve for x
    x = 245,056,185,992.25/343,147
  6. Step 6: Final answer
    x = 714,143.46

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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.