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Finding the Third Proportional to 214,710.75 and 429,397.88

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Solution

The third proportional to 214,710.75 and 429,397.88 is: 858,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,710.75 : 429,397.88 = 429,397.88 : x
  2. Step 2: Convert to fraction form
    214,710.75/429,397.88 = 429,397.88/x
  3. Step 3: Cross multiply
    214,710.75x = 429,397.88 × 429,397.88
  4. Step 4: Simplify right side
    214,710.75x = 184,382,535,054.52
  5. Step 5: Solve for x
    x = 184,382,535,054.52/214,710.75
  6. Step 6: Final answer
    x = 858,748.50

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.