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Finding the Third Proportional to 596,513 and 903,458

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Solution

The third proportional to 596,513 and 903,458 is: 1,368,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,513 : 903,458 = 903,458 : x
  2. Step 2: Convert to fraction form
    596,513/903,458 = 903,458/x
  3. Step 3: Cross multiply
    596,513x = 903,458 × 903,458
  4. Step 4: Simplify right side
    596,513x = 816,236,357,764
  5. Step 5: Solve for x
    x = 816,236,357,764/596,513
  6. Step 6: Final answer
    x = 1,368,346.30

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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.