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Finding the Third Proportional to 596,487 and 903,418.50

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Solution

The third proportional to 596,487 and 903,418.50 is: 1,368,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,487 : 903,418.50 = 903,418.50 : x
  2. Step 2: Convert to fraction form
    596,487/903,418.50 = 903,418.50/x
  3. Step 3: Cross multiply
    596,487x = 903,418.50 × 903,418.50
  4. Step 4: Simplify right side
    596,487x = 816,164,986,142.25
  5. Step 5: Solve for x
    x = 816,164,986,142.25/596,487
  6. Step 6: Final answer
    x = 1,368,286.29

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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.