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Finding the Third Proportional to 263,310 and 576,624

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Solution

The third proportional to 263,310 and 576,624 is: 1,262,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,310 : 576,624 = 576,624 : x
  2. Step 2: Convert to fraction form
    263,310/576,624 = 576,624/x
  3. Step 3: Cross multiply
    263,310x = 576,624 × 576,624
  4. Step 4: Simplify right side
    263,310x = 332,495,237,376
  5. Step 5: Solve for x
    x = 332,495,237,376/263,310
  6. Step 6: Final answer
    x = 1,262,752.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.