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Finding the Third Proportional to 470,767.50 and 604,451.25

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Solution

The third proportional to 470,767.50 and 604,451.25 is: 776,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,767.50 : 604,451.25 = 604,451.25 : x
  2. Step 2: Convert to fraction form
    470,767.50/604,451.25 = 604,451.25/x
  3. Step 3: Cross multiply
    470,767.50x = 604,451.25 × 604,451.25
  4. Step 4: Simplify right side
    470,767.50x = 365,361,313,626.56
  5. Step 5: Solve for x
    x = 365,361,313,626.56/470,767.50
  6. Step 6: Final answer
    x = 776,097.15

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.