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Finding the Third Proportional to 457,663.50 and 947,151

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Solution

The third proportional to 457,663.50 and 947,151 is: 1,960,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,663.50 : 947,151 = 947,151 : x
  2. Step 2: Convert to fraction form
    457,663.50/947,151 = 947,151/x
  3. Step 3: Cross multiply
    457,663.50x = 947,151 × 947,151
  4. Step 4: Simplify right side
    457,663.50x = 897,095,016,801
  5. Step 5: Solve for x
    x = 897,095,016,801/457,663.50
  6. Step 6: Final answer
    x = 1,960,162.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.