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Finding the Third Proportional to 295,539 and 468,051

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Solution

The third proportional to 295,539 and 468,051 is: 741,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,539 : 468,051 = 468,051 : x
  2. Step 2: Convert to fraction form
    295,539/468,051 = 468,051/x
  3. Step 3: Cross multiply
    295,539x = 468,051 × 468,051
  4. Step 4: Simplify right side
    295,539x = 219,071,738,601
  5. Step 5: Solve for x
    x = 219,071,738,601/295,539
  6. Step 6: Final answer
    x = 741,261.69

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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.