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Finding the Third Proportional to 265,200 and 583,008

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Solution

The third proportional to 265,200 and 583,008 is: 1,281,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,200 : 583,008 = 583,008 : x
  2. Step 2: Convert to fraction form
    265,200/583,008 = 583,008/x
  3. Step 3: Cross multiply
    265,200x = 583,008 × 583,008
  4. Step 4: Simplify right side
    265,200x = 339,898,328,064
  5. Step 5: Solve for x
    x = 339,898,328,064/265,200
  6. Step 6: Final answer
    x = 1,281,667.90

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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.