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Finding the Third Proportional to 438,164 and 705,438

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Solution

The third proportional to 438,164 and 705,438 is: 1,135,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,164 : 705,438 = 705,438 : x
  2. Step 2: Convert to fraction form
    438,164/705,438 = 705,438/x
  3. Step 3: Cross multiply
    438,164x = 705,438 × 705,438
  4. Step 4: Simplify right side
    438,164x = 497,642,771,844
  5. Step 5: Solve for x
    x = 497,642,771,844/438,164
  6. Step 6: Final answer
    x = 1,135,745.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.