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Finding the Third Proportional to 496,719 and 786,875

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Solution

The third proportional to 496,719 and 786,875 is: 1,246,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,719 : 786,875 = 786,875 : x
  2. Step 2: Convert to fraction form
    496,719/786,875 = 786,875/x
  3. Step 3: Cross multiply
    496,719x = 786,875 × 786,875
  4. Step 4: Simplify right side
    496,719x = 619,172,265,625
  5. Step 5: Solve for x
    x = 619,172,265,625/496,719
  6. Step 6: Final answer
    x = 1,246,524.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.