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Finding the Third Proportional to 266,619.41 and 377,258.45

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Solution

The third proportional to 266,619.41 and 377,258.45 is: 533,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,619.41 : 377,258.45 = 377,258.45 : x
  2. Step 2: Convert to fraction form
    266,619.41/377,258.45 = 377,258.45/x
  3. Step 3: Cross multiply
    266,619.41x = 377,258.45 × 377,258.45
  4. Step 4: Simplify right side
    266,619.41x = 142,323,937,506.94
  5. Step 5: Solve for x
    x = 142,323,937,506.94/266,619.41
  6. Step 6: Final answer
    x = 533,809.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.