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Finding the Third Proportional to 210,371 and 459,292

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Solution

The third proportional to 210,371 and 459,292 is: 1,002,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,371 : 459,292 = 459,292 : x
  2. Step 2: Convert to fraction form
    210,371/459,292 = 459,292/x
  3. Step 3: Cross multiply
    210,371x = 459,292 × 459,292
  4. Step 4: Simplify right side
    210,371x = 210,949,141,264
  5. Step 5: Solve for x
    x = 210,949,141,264/210,371
  6. Step 6: Final answer
    x = 1,002,748.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.