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Finding the Third Proportional to 214,358.06 and 452,773.13

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Solution

The third proportional to 214,358.06 and 452,773.13 is: 956,360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,358.06 : 452,773.13 = 452,773.13 : x
  2. Step 2: Convert to fraction form
    214,358.06/452,773.13 = 452,773.13/x
  3. Step 3: Cross multiply
    214,358.06x = 452,773.13 × 452,773.13
  4. Step 4: Simplify right side
    214,358.06x = 205,003,502,722.27
  5. Step 5: Solve for x
    x = 205,003,502,722.27/214,358.06
  6. Step 6: Final answer
    x = 956,360.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.