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Finding the Third Proportional to 360,434.81 and 767,456.02

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Solution

The third proportional to 360,434.81 and 767,456.02 is: 1,634,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,434.81 : 767,456.02 = 767,456.02 : x
  2. Step 2: Convert to fraction form
    360,434.81/767,456.02 = 767,456.02/x
  3. Step 3: Cross multiply
    360,434.81x = 767,456.02 × 767,456.02
  4. Step 4: Simplify right side
    360,434.81x = 588,988,735,919.00
  5. Step 5: Solve for x
    x = 588,988,735,919.00/360,434.81
  6. Step 6: Final answer
    x = 1,634,106.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.