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Finding the Third Proportional to 370,397 and 554,011

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Solution

The third proportional to 370,397 and 554,011 is: 828,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,397 : 554,011 = 554,011 : x
  2. Step 2: Convert to fraction form
    370,397/554,011 = 554,011/x
  3. Step 3: Cross multiply
    370,397x = 554,011 × 554,011
  4. Step 4: Simplify right side
    370,397x = 306,928,188,121
  5. Step 5: Solve for x
    x = 306,928,188,121/370,397
  6. Step 6: Final answer
    x = 828,646.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.