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Finding the Third Proportional to 338,305 and 736,882

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Solution

The third proportional to 338,305 and 736,882 is: 1,605,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,305 : 736,882 = 736,882 : x
  2. Step 2: Convert to fraction form
    338,305/736,882 = 736,882/x
  3. Step 3: Cross multiply
    338,305x = 736,882 × 736,882
  4. Step 4: Simplify right side
    338,305x = 542,995,081,924
  5. Step 5: Solve for x
    x = 542,995,081,924/338,305
  6. Step 6: Final answer
    x = 1,605,045.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.