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Finding the Third Proportional to 358,280 and 535,548

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Solution

The third proportional to 358,280 and 535,548 is: 800,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,280 : 535,548 = 535,548 : x
  2. Step 2: Convert to fraction form
    358,280/535,548 = 535,548/x
  3. Step 3: Cross multiply
    358,280x = 535,548 × 535,548
  4. Step 4: Simplify right side
    358,280x = 286,811,660,304
  5. Step 5: Solve for x
    x = 286,811,660,304/358,280
  6. Step 6: Final answer
    x = 800,523.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.