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Finding the Third Proportional to 352,896.75 and 546,841.13

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Solution

The third proportional to 352,896.75 and 546,841.13 is: 847,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,896.75 : 546,841.13 = 546,841.13 : x
  2. Step 2: Convert to fraction form
    352,896.75/546,841.13 = 546,841.13/x
  3. Step 3: Cross multiply
    352,896.75x = 546,841.13 × 546,841.13
  4. Step 4: Simplify right side
    352,896.75x = 299,035,215,991.27
  5. Step 5: Solve for x
    x = 299,035,215,991.27/352,896.75
  6. Step 6: Final answer
    x = 847,373.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.