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Finding the Third Proportional to 309,619.13 and 462,987

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Solution

The third proportional to 309,619.13 and 462,987 is: 692,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,619.13 : 462,987 = 462,987 : x
  2. Step 2: Convert to fraction form
    309,619.13/462,987 = 462,987/x
  3. Step 3: Cross multiply
    309,619.13x = 462,987 × 462,987
  4. Step 4: Simplify right side
    309,619.13x = 214,356,962,169
  5. Step 5: Solve for x
    x = 214,356,962,169/309,619.13
  6. Step 6: Final answer
    x = 692,324.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.