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Finding the Third Proportional to 294,365.81 and 466,881.47

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Solution

The third proportional to 294,365.81 and 466,881.47 is: 740,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,365.81 : 466,881.47 = 466,881.47 : x
  2. Step 2: Convert to fraction form
    294,365.81/466,881.47 = 466,881.47/x
  3. Step 3: Cross multiply
    294,365.81x = 466,881.47 × 466,881.47
  4. Step 4: Simplify right side
    294,365.81x = 217,978,305,862.16
  5. Step 5: Solve for x
    x = 217,978,305,862.16/294,365.81
  6. Step 6: Final answer
    x = 740,501.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.