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Finding the Third Proportional to 779,037.75 and 1,173,683.25

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Solution

The third proportional to 779,037.75 and 1,173,683.25 is: 1,768,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,037.75 : 1,173,683.25 = 1,173,683.25 : x
  2. Step 2: Convert to fraction form
    779,037.75/1,173,683.25 = 1,173,683.25/x
  3. Step 3: Cross multiply
    779,037.75x = 1,173,683.25 × 1,173,683.25
  4. Step 4: Simplify right side
    779,037.75x = 1,377,532,371,330.56
  5. Step 5: Solve for x
    x = 1,377,532,371,330.56/779,037.75
  6. Step 6: Final answer
    x = 1,768,248.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.