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Finding the Third Proportional to 255,784 and 562,328

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Solution

The third proportional to 255,784 and 562,328 is: 1,236,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,784 : 562,328 = 562,328 : x
  2. Step 2: Convert to fraction form
    255,784/562,328 = 562,328/x
  3. Step 3: Cross multiply
    255,784x = 562,328 × 562,328
  4. Step 4: Simplify right side
    255,784x = 316,212,779,584
  5. Step 5: Solve for x
    x = 316,212,779,584/255,784
  6. Step 6: Final answer
    x = 1,236,249.26

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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.