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Finding the Third Proportional to 366,947 and 548,709

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Solution

The third proportional to 366,947 and 548,709 is: 820,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,947 : 548,709 = 548,709 : x
  2. Step 2: Convert to fraction form
    366,947/548,709 = 548,709/x
  3. Step 3: Cross multiply
    366,947x = 548,709 × 548,709
  4. Step 4: Simplify right side
    366,947x = 301,081,566,681
  5. Step 5: Solve for x
    x = 301,081,566,681/366,947
  6. Step 6: Final answer
    x = 820,504.23

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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.