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Finding the Third Proportional to 415,263.75 and 888,111

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Solution

The third proportional to 415,263.75 and 888,111 is: 1,899,373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,263.75 : 888,111 = 888,111 : x
  2. Step 2: Convert to fraction form
    415,263.75/888,111 = 888,111/x
  3. Step 3: Cross multiply
    415,263.75x = 888,111 × 888,111
  4. Step 4: Simplify right side
    415,263.75x = 788,741,148,321
  5. Step 5: Solve for x
    x = 788,741,148,321/415,263.75
  6. Step 6: Final answer
    x = 1,899,373.95

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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.