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Finding the Third Proportional to 344,110.50 and 740,947.50

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Solution

The third proportional to 344,110.50 and 740,947.50 is: 1,595,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,110.50 : 740,947.50 = 740,947.50 : x
  2. Step 2: Convert to fraction form
    344,110.50/740,947.50 = 740,947.50/x
  3. Step 3: Cross multiply
    344,110.50x = 740,947.50 × 740,947.50
  4. Step 4: Simplify right side
    344,110.50x = 549,003,197,756.25
  5. Step 5: Solve for x
    x = 549,003,197,756.25/344,110.50
  6. Step 6: Final answer
    x = 1,595,427.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.