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Finding the Third Proportional to 376,456 and 565,519.50

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Solution

The third proportional to 376,456 and 565,519.50 is: 849,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,456 : 565,519.50 = 565,519.50 : x
  2. Step 2: Convert to fraction form
    376,456/565,519.50 = 565,519.50/x
  3. Step 3: Cross multiply
    376,456x = 565,519.50 × 565,519.50
  4. Step 4: Simplify right side
    376,456x = 319,812,304,880.25
  5. Step 5: Solve for x
    x = 319,812,304,880.25/376,456
  6. Step 6: Final answer
    x = 849,534.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.