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Finding the Third Proportional to 294,759 and 631,541.81

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Solution

The third proportional to 294,759 and 631,541.81 is: 1,353,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,759 : 631,541.81 = 631,541.81 : x
  2. Step 2: Convert to fraction form
    294,759/631,541.81 = 631,541.81/x
  3. Step 3: Cross multiply
    294,759x = 631,541.81 × 631,541.81
  4. Step 4: Simplify right side
    294,759x = 398,845,060,935.79
  5. Step 5: Solve for x
    x = 398,845,060,935.79/294,759
  6. Step 6: Final answer
    x = 1,353,122.59

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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.