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Finding the Third Proportional to 294,769.13 and 631,561.50

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Solution

The third proportional to 294,769.13 and 631,561.50 is: 1,353,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,769.13 : 631,561.50 = 631,561.50 : x
  2. Step 2: Convert to fraction form
    294,769.13/631,561.50 = 631,561.50/x
  3. Step 3: Cross multiply
    294,769.13x = 631,561.50 × 631,561.50
  4. Step 4: Simplify right side
    294,769.13x = 398,869,928,282.25
  5. Step 5: Solve for x
    x = 398,869,928,282.25/294,769.13
  6. Step 6: Final answer
    x = 1,353,160.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.