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Finding the Third Proportional to 578,578 and 895,779

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Solution

The third proportional to 578,578 and 895,779 is: 1,386,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,578 : 895,779 = 895,779 : x
  2. Step 2: Convert to fraction form
    578,578/895,779 = 895,779/x
  3. Step 3: Cross multiply
    578,578x = 895,779 × 895,779
  4. Step 4: Simplify right side
    578,578x = 802,420,016,841
  5. Step 5: Solve for x
    x = 802,420,016,841/578,578
  6. Step 6: Final answer
    x = 1,386,883.04

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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.