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Finding the Third Proportional to 210,698 and 464,342

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Solution

The third proportional to 210,698 and 464,342 is: 1,023,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,698 : 464,342 = 464,342 : x
  2. Step 2: Convert to fraction form
    210,698/464,342 = 464,342/x
  3. Step 3: Cross multiply
    210,698x = 464,342 × 464,342
  4. Step 4: Simplify right side
    210,698x = 215,613,492,964
  5. Step 5: Solve for x
    x = 215,613,492,964/210,698
  6. Step 6: Final answer
    x = 1,023,329.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.