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Finding the Third Proportional to 355,947 and 767,832

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Solution

The third proportional to 355,947 and 767,832 is: 1,656,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,947 : 767,832 = 767,832 : x
  2. Step 2: Convert to fraction form
    355,947/767,832 = 767,832/x
  3. Step 3: Cross multiply
    355,947x = 767,832 × 767,832
  4. Step 4: Simplify right side
    355,947x = 589,565,980,224
  5. Step 5: Solve for x
    x = 589,565,980,224/355,947
  6. Step 6: Final answer
    x = 1,656,330.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.