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Finding the Third Proportional to 263,658 and 564,680

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Solution

The third proportional to 263,658 and 564,680 is: 1,209,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,658 : 564,680 = 564,680 : x
  2. Step 2: Convert to fraction form
    263,658/564,680 = 564,680/x
  3. Step 3: Cross multiply
    263,658x = 564,680 × 564,680
  4. Step 4: Simplify right side
    263,658x = 318,863,502,400
  5. Step 5: Solve for x
    x = 318,863,502,400/263,658
  6. Step 6: Final answer
    x = 1,209,383.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.