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Finding the Third Proportional to 214,947 and 455,500.13

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Solution

The third proportional to 214,947 and 455,500.13 is: 965,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,947 : 455,500.13 = 455,500.13 : x
  2. Step 2: Convert to fraction form
    214,947/455,500.13 = 455,500.13/x
  3. Step 3: Cross multiply
    214,947x = 455,500.13 × 455,500.13
  4. Step 4: Simplify right side
    214,947x = 207,480,363,875.02
  5. Step 5: Solve for x
    x = 207,480,363,875.02/214,947
  6. Step 6: Final answer
    x = 965,262.90

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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.