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Finding the Third Proportional to 630,252 and 918,297

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Solution

The third proportional to 630,252 and 918,297 is: 1,337,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,252 : 918,297 = 918,297 : x
  2. Step 2: Convert to fraction form
    630,252/918,297 = 918,297/x
  3. Step 3: Cross multiply
    630,252x = 918,297 × 918,297
  4. Step 4: Simplify right side
    630,252x = 843,269,380,209
  5. Step 5: Solve for x
    x = 843,269,380,209/630,252
  6. Step 6: Final answer
    x = 1,337,987.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.