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Finding the Third Proportional to 532,096 and 630,512

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Solution

The third proportional to 532,096 and 630,512 is: 747,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,096 : 630,512 = 630,512 : x
  2. Step 2: Convert to fraction form
    532,096/630,512 = 630,512/x
  3. Step 3: Cross multiply
    532,096x = 630,512 × 630,512
  4. Step 4: Simplify right side
    532,096x = 397,545,382,144
  5. Step 5: Solve for x
    x = 397,545,382,144/532,096
  6. Step 6: Final answer
    x = 747,130.94

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.