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Finding the Third Proportional to 336,997.50 and 733,506

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Solution

The third proportional to 336,997.50 and 733,506 is: 1,596,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,997.50 : 733,506 = 733,506 : x
  2. Step 2: Convert to fraction form
    336,997.50/733,506 = 733,506/x
  3. Step 3: Cross multiply
    336,997.50x = 733,506 × 733,506
  4. Step 4: Simplify right side
    336,997.50x = 538,031,052,036
  5. Step 5: Solve for x
    x = 538,031,052,036/336,997.50
  6. Step 6: Final answer
    x = 1,596,543.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.