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Finding the Third Proportional to 255,984 and 568,784

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Solution

The third proportional to 255,984 and 568,784 is: 1,263,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,984 : 568,784 = 568,784 : x
  2. Step 2: Convert to fraction form
    255,984/568,784 = 568,784/x
  3. Step 3: Cross multiply
    255,984x = 568,784 × 568,784
  4. Step 4: Simplify right side
    255,984x = 323,515,238,656
  5. Step 5: Solve for x
    x = 323,515,238,656/255,984
  6. Step 6: Final answer
    x = 1,263,810.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.