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Finding the Third Proportional to 470,787.75 and 604,481.63

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Solution

The third proportional to 470,787.75 and 604,481.63 is: 776,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,787.75 : 604,481.63 = 604,481.63 : x
  2. Step 2: Convert to fraction form
    470,787.75/604,481.63 = 604,481.63/x
  3. Step 3: Cross multiply
    470,787.75x = 604,481.63 × 604,481.63
  4. Step 4: Simplify right side
    470,787.75x = 365,398,034,962.64
  5. Step 5: Solve for x
    x = 365,398,034,962.64/470,787.75
  6. Step 6: Final answer
    x = 776,141.76

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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.