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Finding the Third Proportional to 211,248 and 469,725

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Solution

The third proportional to 211,248 and 469,725 is: 1,044,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,248 : 469,725 = 469,725 : x
  2. Step 2: Convert to fraction form
    211,248/469,725 = 469,725/x
  3. Step 3: Cross multiply
    211,248x = 469,725 × 469,725
  4. Step 4: Simplify right side
    211,248x = 220,641,575,625
  5. Step 5: Solve for x
    x = 220,641,575,625/211,248
  6. Step 6: Final answer
    x = 1,044,467.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.