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Finding the Third Proportional to 440,638 and 594,525

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Solution

The third proportional to 440,638 and 594,525 is: 802,155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,638 : 594,525 = 594,525 : x
  2. Step 2: Convert to fraction form
    440,638/594,525 = 594,525/x
  3. Step 3: Cross multiply
    440,638x = 594,525 × 594,525
  4. Step 4: Simplify right side
    440,638x = 353,459,975,625
  5. Step 5: Solve for x
    x = 353,459,975,625/440,638
  6. Step 6: Final answer
    x = 802,155.00

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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.