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Finding the Third Proportional to 576,643 and 860,191

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Solution

The third proportional to 576,643 and 860,191 is: 1,283,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,643 : 860,191 = 860,191 : x
  2. Step 2: Convert to fraction form
    576,643/860,191 = 860,191/x
  3. Step 3: Cross multiply
    576,643x = 860,191 × 860,191
  4. Step 4: Simplify right side
    576,643x = 739,928,556,481
  5. Step 5: Solve for x
    x = 739,928,556,481/576,643
  6. Step 6: Final answer
    x = 1,283,165.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.