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Finding the Third Proportional to 440,651.50 and 594,543.50

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Solution

The third proportional to 440,651.50 and 594,543.50 is: 802,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,651.50 : 594,543.50 = 594,543.50 : x
  2. Step 2: Convert to fraction form
    440,651.50/594,543.50 = 594,543.50/x
  3. Step 3: Cross multiply
    440,651.50x = 594,543.50 × 594,543.50
  4. Step 4: Simplify right side
    440,651.50x = 353,481,973,392.25
  5. Step 5: Solve for x
    x = 353,481,973,392.25/440,651.50
  6. Step 6: Final answer
    x = 802,180.35

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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.