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Finding the Third Proportional to 214,732 and 457,184

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Solution

The third proportional to 214,732 and 457,184 is: 973,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,732 : 457,184 = 457,184 : x
  2. Step 2: Convert to fraction form
    214,732/457,184 = 457,184/x
  3. Step 3: Cross multiply
    214,732x = 457,184 × 457,184
  4. Step 4: Simplify right side
    214,732x = 209,017,209,856
  5. Step 5: Solve for x
    x = 209,017,209,856/214,732
  6. Step 6: Final answer
    x = 973,386.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.