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Finding the Third Proportional to 369,921.50 and 501,297

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Solution

The third proportional to 369,921.50 and 501,297 is: 679,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,921.50 : 501,297 = 501,297 : x
  2. Step 2: Convert to fraction form
    369,921.50/501,297 = 501,297/x
  3. Step 3: Cross multiply
    369,921.50x = 501,297 × 501,297
  4. Step 4: Simplify right side
    369,921.50x = 251,298,682,209
  5. Step 5: Solve for x
    x = 251,298,682,209/369,921.50
  6. Step 6: Final answer
    x = 679,329.76

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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.