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Finding the Third Proportional to 374,255 and 809,961.50

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Solution

The third proportional to 374,255 and 809,961.50 is: 1,752,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,255 : 809,961.50 = 809,961.50 : x
  2. Step 2: Convert to fraction form
    374,255/809,961.50 = 809,961.50/x
  3. Step 3: Cross multiply
    374,255x = 809,961.50 × 809,961.50
  4. Step 4: Simplify right side
    374,255x = 656,037,631,482.25
  5. Step 5: Solve for x
    x = 656,037,631,482.25/374,255
  6. Step 6: Final answer
    x = 1,752,916.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.