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Finding the Third Proportional to 576,992 and 895,735

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Solution

The third proportional to 576,992 and 895,735 is: 1,390,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,992 : 895,735 = 895,735 : x
  2. Step 2: Convert to fraction form
    576,992/895,735 = 895,735/x
  3. Step 3: Cross multiply
    576,992x = 895,735 × 895,735
  4. Step 4: Simplify right side
    576,992x = 802,341,190,225
  5. Step 5: Solve for x
    x = 802,341,190,225/576,992
  6. Step 6: Final answer
    x = 1,390,558.60

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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.