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Finding the Third Proportional to 433,741.50 and 933,945.75

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Solution

The third proportional to 433,741.50 and 933,945.75 is: 2,011,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,741.50 : 933,945.75 = 933,945.75 : x
  2. Step 2: Convert to fraction form
    433,741.50/933,945.75 = 933,945.75/x
  3. Step 3: Cross multiply
    433,741.50x = 933,945.75 × 933,945.75
  4. Step 4: Simplify right side
    433,741.50x = 872,254,663,943.06
  5. Step 5: Solve for x
    x = 872,254,663,943.06/433,741.50
  6. Step 6: Final answer
    x = 2,011,001.17

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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.