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Finding the Third Proportional to 347,941.13 and 533,143.69

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Solution

The third proportional to 347,941.13 and 533,143.69 is: 816,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,941.13 : 533,143.69 = 533,143.69 : x
  2. Step 2: Convert to fraction form
    347,941.13/533,143.69 = 533,143.69/x
  3. Step 3: Cross multiply
    347,941.13x = 533,143.69 × 533,143.69
  4. Step 4: Simplify right side
    347,941.13x = 284,242,191,521.10
  5. Step 5: Solve for x
    x = 284,242,191,521.10/347,941.13
  6. Step 6: Final answer
    x = 816,926.12

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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.