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Finding the Third Proportional to 351,487.50 and 767,266.50

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Solution

The third proportional to 351,487.50 and 767,266.50 is: 1,674,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,487.50 : 767,266.50 = 767,266.50 : x
  2. Step 2: Convert to fraction form
    351,487.50/767,266.50 = 767,266.50/x
  3. Step 3: Cross multiply
    351,487.50x = 767,266.50 × 767,266.50
  4. Step 4: Simplify right side
    351,487.50x = 588,697,882,022.25
  5. Step 5: Solve for x
    x = 588,697,882,022.25/351,487.50
  6. Step 6: Final answer
    x = 1,674,875.73

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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.