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Finding the Third Proportional to 211,293.56 and 469,830.38

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Solution

The third proportional to 211,293.56 and 469,830.38 is: 1,044,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,293.56 : 469,830.38 = 469,830.38 : x
  2. Step 2: Convert to fraction form
    211,293.56/469,830.38 = 469,830.38/x
  3. Step 3: Cross multiply
    211,293.56x = 469,830.38 × 469,830.38
  4. Step 4: Simplify right side
    211,293.56x = 220,740,581,272.64
  5. Step 5: Solve for x
    x = 220,740,581,272.64/211,293.56
  6. Step 6: Final answer
    x = 1,044,710.40

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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.