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Finding the Third Proportional to 263,341 and 583,624

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Solution

The third proportional to 263,341 and 583,624 is: 1,293,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,341 : 583,624 = 583,624 : x
  2. Step 2: Convert to fraction form
    263,341/583,624 = 583,624/x
  3. Step 3: Cross multiply
    263,341x = 583,624 × 583,624
  4. Step 4: Simplify right side
    263,341x = 340,616,973,376
  5. Step 5: Solve for x
    x = 340,616,973,376/263,341
  6. Step 6: Final answer
    x = 1,293,444.52

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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.