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Finding the Third Proportional to 354,691.50 and 778,363.50

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Solution

The third proportional to 354,691.50 and 778,363.50 is: 1,708,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,691.50 : 778,363.50 = 778,363.50 : x
  2. Step 2: Convert to fraction form
    354,691.50/778,363.50 = 778,363.50/x
  3. Step 3: Cross multiply
    354,691.50x = 778,363.50 × 778,363.50
  4. Step 4: Simplify right side
    354,691.50x = 605,849,738,132.25
  5. Step 5: Solve for x
    x = 605,849,738,132.25/354,691.50
  6. Step 6: Final answer
    x = 1,708,103.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.