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Finding the Third Proportional to 334,557 and 476,922

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Solution

The third proportional to 334,557 and 476,922 is: 679,867.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,557 : 476,922 = 476,922 : x
  2. Step 2: Convert to fraction form
    334,557/476,922 = 476,922/x
  3. Step 3: Cross multiply
    334,557x = 476,922 × 476,922
  4. Step 4: Simplify right side
    334,557x = 227,454,594,084
  5. Step 5: Solve for x
    x = 227,454,594,084/334,557
  6. Step 6: Final answer
    x = 679,867.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.