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Finding the Third Proportional to 579,839 and 877,779.25

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Solution

The third proportional to 579,839 and 877,779.25 is: 1,328,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,839 : 877,779.25 = 877,779.25 : x
  2. Step 2: Convert to fraction form
    579,839/877,779.25 = 877,779.25/x
  3. Step 3: Cross multiply
    579,839x = 877,779.25 × 877,779.25
  4. Step 4: Simplify right side
    579,839x = 770,496,411,730.56
  5. Step 5: Solve for x
    x = 770,496,411,730.56/579,839
  6. Step 6: Final answer
    x = 1,328,810.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.