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Finding the Third Proportional to 341,827 and 530,659

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Solution

The third proportional to 341,827 and 530,659 is: 823,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,827 : 530,659 = 530,659 : x
  2. Step 2: Convert to fraction form
    341,827/530,659 = 530,659/x
  3. Step 3: Cross multiply
    341,827x = 530,659 × 530,659
  4. Step 4: Simplify right side
    341,827x = 281,598,974,281
  5. Step 5: Solve for x
    x = 281,598,974,281/341,827
  6. Step 6: Final answer
    x = 823,805.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.