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Finding the Third Proportional to 595,264 and 906,864

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Solution

The third proportional to 595,264 and 906,864 is: 1,381,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,264 : 906,864 = 906,864 : x
  2. Step 2: Convert to fraction form
    595,264/906,864 = 906,864/x
  3. Step 3: Cross multiply
    595,264x = 906,864 × 906,864
  4. Step 4: Simplify right side
    595,264x = 822,402,314,496
  5. Step 5: Solve for x
    x = 822,402,314,496/595,264
  6. Step 6: Final answer
    x = 1,381,575.76

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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.