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Finding the Third Proportional to 286,711 and 455,410

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Solution

The third proportional to 286,711 and 455,410 is: 723,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,711 : 455,410 = 455,410 : x
  2. Step 2: Convert to fraction form
    286,711/455,410 = 455,410/x
  3. Step 3: Cross multiply
    286,711x = 455,410 × 455,410
  4. Step 4: Simplify right side
    286,711x = 207,398,268,100
  5. Step 5: Solve for x
    x = 207,398,268,100/286,711
  6. Step 6: Final answer
    x = 723,370.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.