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Finding the Third Proportional to 281,523 and 586,341

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Solution

The third proportional to 281,523 and 586,341 is: 1,221,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,523 : 586,341 = 586,341 : x
  2. Step 2: Convert to fraction form
    281,523/586,341 = 586,341/x
  3. Step 3: Cross multiply
    281,523x = 586,341 × 586,341
  4. Step 4: Simplify right side
    281,523x = 343,795,768,281
  5. Step 5: Solve for x
    x = 343,795,768,281/281,523
  6. Step 6: Final answer
    x = 1,221,199.58

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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.