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Finding the Third Proportional to 310,078.13 and 465,112.13

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Solution

The third proportional to 310,078.13 and 465,112.13 is: 697,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,078.13 : 465,112.13 = 465,112.13 : x
  2. Step 2: Convert to fraction form
    310,078.13/465,112.13 = 465,112.13/x
  3. Step 3: Cross multiply
    310,078.13x = 465,112.13 × 465,112.13
  4. Step 4: Simplify right side
    310,078.13x = 216,329,288,822.02
  5. Step 5: Solve for x
    x = 216,329,288,822.02/310,078.13
  6. Step 6: Final answer
    x = 697,660.59

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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.