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Finding the Third Proportional to 213,423 and 457,275

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Solution

The third proportional to 213,423 and 457,275 is: 979,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,423 : 457,275 = 457,275 : x
  2. Step 2: Convert to fraction form
    213,423/457,275 = 457,275/x
  3. Step 3: Cross multiply
    213,423x = 457,275 × 457,275
  4. Step 4: Simplify right side
    213,423x = 209,100,425,625
  5. Step 5: Solve for x
    x = 209,100,425,625/213,423
  6. Step 6: Final answer
    x = 979,746.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.