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Finding the Third Proportional to 797,365.50 and 1,705,377

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Solution

The third proportional to 797,365.50 and 1,705,377 is: 3,647,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,365.50 : 1,705,377 = 1,705,377 : x
  2. Step 2: Convert to fraction form
    797,365.50/1,705,377 = 1,705,377/x
  3. Step 3: Cross multiply
    797,365.50x = 1,705,377 × 1,705,377
  4. Step 4: Simplify right side
    797,365.50x = 2,908,310,712,129
  5. Step 5: Solve for x
    x = 2,908,310,712,129/797,365.50
  6. Step 6: Final answer
    x = 3,647,399.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.