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Finding the Third Proportional to 387,013.50 and 910,606.50

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Solution

The third proportional to 387,013.50 and 910,606.50 is: 2,142,571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,013.50 : 910,606.50 = 910,606.50 : x
  2. Step 2: Convert to fraction form
    387,013.50/910,606.50 = 910,606.50/x
  3. Step 3: Cross multiply
    387,013.50x = 910,606.50 × 910,606.50
  4. Step 4: Simplify right side
    387,013.50x = 829,204,197,842.25
  5. Step 5: Solve for x
    x = 829,204,197,842.25/387,013.50
  6. Step 6: Final answer
    x = 2,142,571.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.