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Finding the Third Proportional to 376,450.88 and 565,511.63

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Solution

The third proportional to 376,450.88 and 565,511.63 is: 849,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,450.88 : 565,511.63 = 565,511.63 : x
  2. Step 2: Convert to fraction form
    376,450.88/565,511.63 = 565,511.63/x
  3. Step 3: Cross multiply
    376,450.88x = 565,511.63 × 565,511.63
  4. Step 4: Simplify right side
    376,450.88x = 319,803,398,010.14
  5. Step 5: Solve for x
    x = 319,803,398,010.14/376,450.88
  6. Step 6: Final answer
    x = 849,522.26

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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.