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Finding the Third Proportional to 596,322 and 903,960

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Solution

The third proportional to 596,322 and 903,960 is: 1,370,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,322 : 903,960 = 903,960 : x
  2. Step 2: Convert to fraction form
    596,322/903,960 = 903,960/x
  3. Step 3: Cross multiply
    596,322x = 903,960 × 903,960
  4. Step 4: Simplify right side
    596,322x = 817,143,681,600
  5. Step 5: Solve for x
    x = 817,143,681,600/596,322
  6. Step 6: Final answer
    x = 1,370,306.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.