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Finding the Third Proportional to 604,025 and 844,915

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Solution

The third proportional to 604,025 and 844,915 is: 1,181,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,025 : 844,915 = 844,915 : x
  2. Step 2: Convert to fraction form
    604,025/844,915 = 844,915/x
  3. Step 3: Cross multiply
    604,025x = 844,915 × 844,915
  4. Step 4: Simplify right side
    604,025x = 713,881,357,225
  5. Step 5: Solve for x
    x = 713,881,357,225/604,025
  6. Step 6: Final answer
    x = 1,181,873.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.