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Finding the Third Proportional to 779,746.50 and 976,065.19

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Solution

The third proportional to 779,746.50 and 976,065.19 is: 1,221,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,746.50 : 976,065.19 = 976,065.19 : x
  2. Step 2: Convert to fraction form
    779,746.50/976,065.19 = 976,065.19/x
  3. Step 3: Cross multiply
    779,746.50x = 976,065.19 × 976,065.19
  4. Step 4: Simplify right side
    779,746.50x = 952,703,250,249.41
  5. Step 5: Solve for x
    x = 952,703,250,249.41/779,746.50
  6. Step 6: Final answer
    x = 1,221,811.51

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.