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Finding the Third Proportional to 349,116.75 and 533,827.13

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Solution

The third proportional to 349,116.75 and 533,827.13 is: 816,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,116.75 : 533,827.13 = 533,827.13 : x
  2. Step 2: Convert to fraction form
    349,116.75/533,827.13 = 533,827.13/x
  3. Step 3: Cross multiply
    349,116.75x = 533,827.13 × 533,827.13
  4. Step 4: Simplify right side
    349,116.75x = 284,971,399,385.77
  5. Step 5: Solve for x
    x = 284,971,399,385.77/349,116.75
  6. Step 6: Final answer
    x = 816,263.90

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.