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Finding the Third Proportional to 280,408 and 611,570

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Solution

The third proportional to 280,408 and 611,570 is: 1,333,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,408 : 611,570 = 611,570 : x
  2. Step 2: Convert to fraction form
    280,408/611,570 = 611,570/x
  3. Step 3: Cross multiply
    280,408x = 611,570 × 611,570
  4. Step 4: Simplify right side
    280,408x = 374,017,864,900
  5. Step 5: Solve for x
    x = 374,017,864,900/280,408
  6. Step 6: Final answer
    x = 1,333,834.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.