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Finding the Third Proportional to 349,328.25 and 711,502.88

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Solution

The third proportional to 349,328.25 and 711,502.88 is: 1,449,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,328.25 : 711,502.88 = 711,502.88 : x
  2. Step 2: Convert to fraction form
    349,328.25/711,502.88 = 711,502.88/x
  3. Step 3: Cross multiply
    349,328.25x = 711,502.88 × 711,502.88
  4. Step 4: Simplify right side
    349,328.25x = 506,236,341,133.27
  5. Step 5: Solve for x
    x = 506,236,341,133.27/349,328.25
  6. Step 6: Final answer
    x = 1,449,170.92

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.