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Finding the Third Proportional to 262,584 and 577,656

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Solution

The third proportional to 262,584 and 577,656 is: 1,270,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,584 : 577,656 = 577,656 : x
  2. Step 2: Convert to fraction form
    262,584/577,656 = 577,656/x
  3. Step 3: Cross multiply
    262,584x = 577,656 × 577,656
  4. Step 4: Simplify right side
    262,584x = 333,686,454,336
  5. Step 5: Solve for x
    x = 333,686,454,336/262,584
  6. Step 6: Final answer
    x = 1,270,779.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.