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Finding the Third Proportional to 262,248 and 574,548

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Solution

The third proportional to 262,248 and 574,548 is: 1,258,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,248 : 574,548 = 574,548 : x
  2. Step 2: Convert to fraction form
    262,248/574,548 = 574,548/x
  3. Step 3: Cross multiply
    262,248x = 574,548 × 574,548
  4. Step 4: Simplify right side
    262,248x = 330,105,404,304
  5. Step 5: Solve for x
    x = 330,105,404,304/262,248
  6. Step 6: Final answer
    x = 1,258,752.80

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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.