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Finding the Third Proportional to 214,491 and 423,594

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Solution

The third proportional to 214,491 and 423,594 is: 836,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,491 : 423,594 = 423,594 : x
  2. Step 2: Convert to fraction form
    214,491/423,594 = 423,594/x
  3. Step 3: Cross multiply
    214,491x = 423,594 × 423,594
  4. Step 4: Simplify right side
    214,491x = 179,431,876,836
  5. Step 5: Solve for x
    x = 179,431,876,836/214,491
  6. Step 6: Final answer
    x = 836,547.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.