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Finding the Third Proportional to 596,176 and 901,972

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Solution

The third proportional to 596,176 and 901,972 is: 1,364,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,176 : 901,972 = 901,972 : x
  2. Step 2: Convert to fraction form
    596,176/901,972 = 901,972/x
  3. Step 3: Cross multiply
    596,176x = 901,972 × 901,972
  4. Step 4: Simplify right side
    596,176x = 813,553,488,784
  5. Step 5: Solve for x
    x = 813,553,488,784/596,176
  6. Step 6: Final answer
    x = 1,364,619.66

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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.