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Finding the Third Proportional to 365,077.50 and 798,976.50

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Solution

The third proportional to 365,077.50 and 798,976.50 is: 1,748,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,077.50 : 798,976.50 = 798,976.50 : x
  2. Step 2: Convert to fraction form
    365,077.50/798,976.50 = 798,976.50/x
  3. Step 3: Cross multiply
    365,077.50x = 798,976.50 × 798,976.50
  4. Step 4: Simplify right side
    365,077.50x = 638,363,447,552.25
  5. Step 5: Solve for x
    x = 638,363,447,552.25/365,077.50
  6. Step 6: Final answer
    x = 1,748,569.68

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Why These Related Problems?

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