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Finding the Third Proportional to 334,490.50 and 476,822

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Solution

The third proportional to 334,490.50 and 476,822 is: 679,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,490.50 : 476,822 = 476,822 : x
  2. Step 2: Convert to fraction form
    334,490.50/476,822 = 476,822/x
  3. Step 3: Cross multiply
    334,490.50x = 476,822 × 476,822
  4. Step 4: Simplify right side
    334,490.50x = 227,359,219,684
  5. Step 5: Solve for x
    x = 227,359,219,684/334,490.50
  6. Step 6: Final answer
    x = 679,718.02

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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.