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Finding the Third Proportional to 633,272 and 979,310

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Solution

The third proportional to 633,272 and 979,310 is: 1,514,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,272 : 979,310 = 979,310 : x
  2. Step 2: Convert to fraction form
    633,272/979,310 = 979,310/x
  3. Step 3: Cross multiply
    633,272x = 979,310 × 979,310
  4. Step 4: Simplify right side
    633,272x = 959,048,076,100
  5. Step 5: Solve for x
    x = 959,048,076,100/633,272
  6. Step 6: Final answer
    x = 1,514,433.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.