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Finding the Third Proportional to 440,638.31 and 594,524.81

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Solution

The third proportional to 440,638.31 and 594,524.81 is: 802,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,638.31 : 594,524.81 = 594,524.81 : x
  2. Step 2: Convert to fraction form
    440,638.31/594,524.81 = 594,524.81/x
  3. Step 3: Cross multiply
    440,638.31x = 594,524.81 × 594,524.81
  4. Step 4: Simplify right side
    440,638.31x = 353,459,752,678.16
  5. Step 5: Solve for x
    x = 353,459,752,678.16/440,638.31
  6. Step 6: Final answer
    x = 802,153.93

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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.