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Finding the Third Proportional to 343,134.75 and 495,017.63

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Solution

The third proportional to 343,134.75 and 495,017.63 is: 714,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,134.75 : 495,017.63 = 495,017.63 : x
  2. Step 2: Convert to fraction form
    343,134.75/495,017.63 = 495,017.63/x
  3. Step 3: Cross multiply
    343,134.75x = 495,017.63 × 495,017.63
  4. Step 4: Simplify right side
    343,134.75x = 245,042,449,060.64
  5. Step 5: Solve for x
    x = 245,042,449,060.64/343,134.75
  6. Step 6: Final answer
    x = 714,128.92

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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.