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Finding the Third Proportional to 214,314.19 and 458,152.88

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Solution

The third proportional to 214,314.19 and 458,152.88 is: 979,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,314.19 : 458,152.88 = 458,152.88 : x
  2. Step 2: Convert to fraction form
    214,314.19/458,152.88 = 458,152.88/x
  3. Step 3: Cross multiply
    214,314.19x = 458,152.88 × 458,152.88
  4. Step 4: Simplify right side
    214,314.19x = 209,904,056,870.77
  5. Step 5: Solve for x
    x = 209,904,056,870.77/214,314.19
  6. Step 6: Final answer
    x = 979,422.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.