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Finding the Third Proportional to 211,234 and 469,695.50

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Solution

The third proportional to 211,234 and 469,695.50 is: 1,044,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,234 : 469,695.50 = 469,695.50 : x
  2. Step 2: Convert to fraction form
    211,234/469,695.50 = 469,695.50/x
  3. Step 3: Cross multiply
    211,234x = 469,695.50 × 469,695.50
  4. Step 4: Simplify right side
    211,234x = 220,613,862,720.25
  5. Step 5: Solve for x
    x = 220,613,862,720.25/211,234
  6. Step 6: Final answer
    x = 1,044,405.08

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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.