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Finding the Third Proportional to 295,910 and 418,706

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Solution

The third proportional to 295,910 and 418,706 is: 592,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,910 : 418,706 = 418,706 : x
  2. Step 2: Convert to fraction form
    295,910/418,706 = 418,706/x
  3. Step 3: Cross multiply
    295,910x = 418,706 × 418,706
  4. Step 4: Simplify right side
    295,910x = 175,314,714,436
  5. Step 5: Solve for x
    x = 175,314,714,436/295,910
  6. Step 6: Final answer
    x = 592,459.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.