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Finding the Third Proportional to 338,476.22 and 735,302.81

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Solution

The third proportional to 338,476.22 and 735,302.81 is: 1,597,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,476.22 : 735,302.81 = 735,302.81 : x
  2. Step 2: Convert to fraction form
    338,476.22/735,302.81 = 735,302.81/x
  3. Step 3: Cross multiply
    338,476.22x = 735,302.81 × 735,302.81
  4. Step 4: Simplify right side
    338,476.22x = 540,670,226,070.41
  5. Step 5: Solve for x
    x = 540,670,226,070.41/338,476.22
  6. Step 6: Final answer
    x = 1,597,365.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.