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Finding the Third Proportional to 266,746.50 and 474,283.69

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Solution

The third proportional to 266,746.50 and 474,283.69 is: 843,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,746.50 : 474,283.69 = 474,283.69 : x
  2. Step 2: Convert to fraction form
    266,746.50/474,283.69 = 474,283.69/x
  3. Step 3: Cross multiply
    266,746.50x = 474,283.69 × 474,283.69
  4. Step 4: Simplify right side
    266,746.50x = 224,945,016,228.60
  5. Step 5: Solve for x
    x = 224,945,016,228.60/266,746.50
  6. Step 6: Final answer
    x = 843,291.35

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.