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Finding the Third Proportional to 210,363 and 450,282

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Solution

The third proportional to 210,363 and 450,282 is: 963,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,363 : 450,282 = 450,282 : x
  2. Step 2: Convert to fraction form
    210,363/450,282 = 450,282/x
  3. Step 3: Cross multiply
    210,363x = 450,282 × 450,282
  4. Step 4: Simplify right side
    210,363x = 202,753,879,524
  5. Step 5: Solve for x
    x = 202,753,879,524/210,363
  6. Step 6: Final answer
    x = 963,828.62

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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.