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Finding the Third Proportional to 524,490.50 and 783,500

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Solution

The third proportional to 524,490.50 and 783,500 is: 1,170,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,490.50 : 783,500 = 783,500 : x
  2. Step 2: Convert to fraction form
    524,490.50/783,500 = 783,500/x
  3. Step 3: Cross multiply
    524,490.50x = 783,500 × 783,500
  4. Step 4: Simplify right side
    524,490.50x = 613,872,250,000
  5. Step 5: Solve for x
    x = 613,872,250,000/524,490.50
  6. Step 6: Final answer
    x = 1,170,416.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.