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Finding the Third Proportional to 463,026.38 and 695,769.75

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Solution

The third proportional to 463,026.38 and 695,769.75 is: 1,045,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,026.38 : 695,769.75 = 695,769.75 : x
  2. Step 2: Convert to fraction form
    463,026.38/695,769.75 = 695,769.75/x
  3. Step 3: Cross multiply
    463,026.38x = 695,769.75 × 695,769.75
  4. Step 4: Simplify right side
    463,026.38x = 484,095,545,015.06
  5. Step 5: Solve for x
    x = 484,095,545,015.06/463,026.38
  6. Step 6: Final answer
    x = 1,045,503.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.