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Finding the Third Proportional to 520,632 and 787,500

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Solution

The third proportional to 520,632 and 787,500 is: 1,191,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,632 : 787,500 = 787,500 : x
  2. Step 2: Convert to fraction form
    520,632/787,500 = 787,500/x
  3. Step 3: Cross multiply
    520,632x = 787,500 × 787,500
  4. Step 4: Simplify right side
    520,632x = 620,156,250,000
  5. Step 5: Solve for x
    x = 620,156,250,000/520,632
  6. Step 6: Final answer
    x = 1,191,160.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.