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Finding the Third Proportional to 598,464 and 895,671

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Solution

The third proportional to 598,464 and 895,671 is: 1,340,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,464 : 895,671 = 895,671 : x
  2. Step 2: Convert to fraction form
    598,464/895,671 = 895,671/x
  3. Step 3: Cross multiply
    598,464x = 895,671 × 895,671
  4. Step 4: Simplify right side
    598,464x = 802,226,540,241
  5. Step 5: Solve for x
    x = 802,226,540,241/598,464
  6. Step 6: Final answer
    x = 1,340,475.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.