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Finding the Third Proportional to 369,924.50 and 501,305

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Solution

The third proportional to 369,924.50 and 501,305 is: 679,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,924.50 : 501,305 = 501,305 : x
  2. Step 2: Convert to fraction form
    369,924.50/501,305 = 501,305/x
  3. Step 3: Cross multiply
    369,924.50x = 501,305 × 501,305
  4. Step 4: Simplify right side
    369,924.50x = 251,306,703,025
  5. Step 5: Solve for x
    x = 251,306,703,025/369,924.50
  6. Step 6: Final answer
    x = 679,345.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.