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Finding the Third Proportional to 583,104 and 1,280,352

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Solution

The third proportional to 583,104 and 1,280,352 is: 2,811,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,104 : 1,280,352 = 1,280,352 : x
  2. Step 2: Convert to fraction form
    583,104/1,280,352 = 1,280,352/x
  3. Step 3: Cross multiply
    583,104x = 1,280,352 × 1,280,352
  4. Step 4: Simplify right side
    583,104x = 1,639,301,243,904
  5. Step 5: Solve for x
    x = 1,639,301,243,904/583,104
  6. Step 6: Final answer
    x = 2,811,335.96

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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.