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Finding the Third Proportional to 524,859.50 and 787,152.50

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Solution

The third proportional to 524,859.50 and 787,152.50 is: 1,180,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,859.50 : 787,152.50 = 787,152.50 : x
  2. Step 2: Convert to fraction form
    524,859.50/787,152.50 = 787,152.50/x
  3. Step 3: Cross multiply
    524,859.50x = 787,152.50 × 787,152.50
  4. Step 4: Simplify right side
    524,859.50x = 619,609,058,256.25
  5. Step 5: Solve for x
    x = 619,609,058,256.25/524,859.50
  6. Step 6: Final answer
    x = 1,180,523.66

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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.