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Finding the Third Proportional to 211,030.31 and 462,083.48

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Solution

The third proportional to 211,030.31 and 462,083.48 is: 1,011,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,030.31 : 462,083.48 = 462,083.48 : x
  2. Step 2: Convert to fraction form
    211,030.31/462,083.48 = 462,083.48/x
  3. Step 3: Cross multiply
    211,030.31x = 462,083.48 × 462,083.48
  4. Step 4: Simplify right side
    211,030.31x = 213,521,146,532.14
  5. Step 5: Solve for x
    x = 213,521,146,532.14/211,030.31
  6. Step 6: Final answer
    x = 1,011,803.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.