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Finding the Third Proportional to 413,982 and 607,338

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Solution

The third proportional to 413,982 and 607,338 is: 891,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,982 : 607,338 = 607,338 : x
  2. Step 2: Convert to fraction form
    413,982/607,338 = 607,338/x
  3. Step 3: Cross multiply
    413,982x = 607,338 × 607,338
  4. Step 4: Simplify right side
    413,982x = 368,859,446,244
  5. Step 5: Solve for x
    x = 368,859,446,244/413,982
  6. Step 6: Final answer
    x = 891,003.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.