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Finding the Third Proportional to 214,864.50 and 455,341.31

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Solution

The third proportional to 214,864.50 and 455,341.31 is: 964,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,864.50 : 455,341.31 = 455,341.31 : x
  2. Step 2: Convert to fraction form
    214,864.50/455,341.31 = 455,341.31/x
  3. Step 3: Cross multiply
    214,864.50x = 455,341.31 × 455,341.31
  4. Step 4: Simplify right side
    214,864.50x = 207,335,710,869.22
  5. Step 5: Solve for x
    x = 207,335,710,869.22/214,864.50
  6. Step 6: Final answer
    x = 964,960.29

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.