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Finding the Third Proportional to 295,533 and 468,036

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Solution

The third proportional to 295,533 and 468,036 is: 741,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,533 : 468,036 = 468,036 : x
  2. Step 2: Convert to fraction form
    295,533/468,036 = 468,036/x
  3. Step 3: Cross multiply
    295,533x = 468,036 × 468,036
  4. Step 4: Simplify right side
    295,533x = 219,057,697,296
  5. Step 5: Solve for x
    x = 219,057,697,296/295,533
  6. Step 6: Final answer
    x = 741,229.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.