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Finding the Third Proportional to 403,501.50 and 604,477.69

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Solution

The third proportional to 403,501.50 and 604,477.69 is: 905,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,501.50 : 604,477.69 = 604,477.69 : x
  2. Step 2: Convert to fraction form
    403,501.50/604,477.69 = 604,477.69/x
  3. Step 3: Cross multiply
    403,501.50x = 604,477.69 × 604,477.69
  4. Step 4: Simplify right side
    403,501.50x = 365,393,274,685.35
  5. Step 5: Solve for x
    x = 365,393,274,685.35/403,501.50
  6. Step 6: Final answer
    x = 905,556.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.