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Finding the Third Proportional to 213,532 and 453,402

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Solution

The third proportional to 213,532 and 453,402 is: 962,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,532 : 453,402 = 453,402 : x
  2. Step 2: Convert to fraction form
    213,532/453,402 = 453,402/x
  3. Step 3: Cross multiply
    213,532x = 453,402 × 453,402
  4. Step 4: Simplify right side
    213,532x = 205,573,373,604
  5. Step 5: Solve for x
    x = 205,573,373,604/213,532
  6. Step 6: Final answer
    x = 962,728.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.