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Finding the Third Proportional to 338,602 and 705,226

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Solution

The third proportional to 338,602 and 705,226 is: 1,468,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,602 : 705,226 = 705,226 : x
  2. Step 2: Convert to fraction form
    338,602/705,226 = 705,226/x
  3. Step 3: Cross multiply
    338,602x = 705,226 × 705,226
  4. Step 4: Simplify right side
    338,602x = 497,343,711,076
  5. Step 5: Solve for x
    x = 497,343,711,076/338,602
  6. Step 6: Final answer
    x = 1,468,815.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.