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Finding the Third Proportional to 298,296 and 581,472

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Solution

The third proportional to 298,296 and 581,472 is: 1,133,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,296 : 581,472 = 581,472 : x
  2. Step 2: Convert to fraction form
    298,296/581,472 = 581,472/x
  3. Step 3: Cross multiply
    298,296x = 581,472 × 581,472
  4. Step 4: Simplify right side
    298,296x = 338,109,686,784
  5. Step 5: Solve for x
    x = 338,109,686,784/298,296
  6. Step 6: Final answer
    x = 1,133,470.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.