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Finding the Third Proportional to 524,623.50 and 786,943.50

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Solution

The third proportional to 524,623.50 and 786,943.50 is: 1,180,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,623.50 : 786,943.50 = 786,943.50 : x
  2. Step 2: Convert to fraction form
    524,623.50/786,943.50 = 786,943.50/x
  3. Step 3: Cross multiply
    524,623.50x = 786,943.50 × 786,943.50
  4. Step 4: Simplify right side
    524,623.50x = 619,280,072,192.25
  5. Step 5: Solve for x
    x = 619,280,072,192.25/524,623.50
  6. Step 6: Final answer
    x = 1,180,427.63

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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.