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Finding the Third Proportional to 440,653 and 594,545

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Solution

The third proportional to 440,653 and 594,545 is: 802,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,653 : 594,545 = 594,545 : x
  2. Step 2: Convert to fraction form
    440,653/594,545 = 594,545/x
  3. Step 3: Cross multiply
    440,653x = 594,545 × 594,545
  4. Step 4: Simplify right side
    440,653x = 353,483,757,025
  5. Step 5: Solve for x
    x = 353,483,757,025/440,653
  6. Step 6: Final answer
    x = 802,181.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.