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Finding the Third Proportional to 214,386 and 468,759

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Solution

The third proportional to 214,386 and 468,759 is: 1,024,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,386 : 468,759 = 468,759 : x
  2. Step 2: Convert to fraction form
    214,386/468,759 = 468,759/x
  3. Step 3: Cross multiply
    214,386x = 468,759 × 468,759
  4. Step 4: Simplify right side
    214,386x = 219,735,000,081
  5. Step 5: Solve for x
    x = 219,735,000,081/214,386
  6. Step 6: Final answer
    x = 1,024,950.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.