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Finding the Third Proportional to 596,488 and 903,420

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Solution

The third proportional to 596,488 and 903,420 is: 1,368,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,488 : 903,420 = 903,420 : x
  2. Step 2: Convert to fraction form
    596,488/903,420 = 903,420/x
  3. Step 3: Cross multiply
    596,488x = 903,420 × 903,420
  4. Step 4: Simplify right side
    596,488x = 816,167,696,400
  5. Step 5: Solve for x
    x = 816,167,696,400/596,488
  6. Step 6: Final answer
    x = 1,368,288.54

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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.