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Finding the Third Proportional to 349,947 and 522,730.13

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Solution

The third proportional to 349,947 and 522,730.13 is: 780,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,947 : 522,730.13 = 522,730.13 : x
  2. Step 2: Convert to fraction form
    349,947/522,730.13 = 522,730.13/x
  3. Step 3: Cross multiply
    349,947x = 522,730.13 × 522,730.13
  4. Step 4: Simplify right side
    349,947x = 273,246,783,582.52
  5. Step 5: Solve for x
    x = 273,246,783,582.52/349,947
  6. Step 6: Final answer
    x = 780,823.33

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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.