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Finding the Third Proportional to 341,787 and 499,434

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Solution

The third proportional to 341,787 and 499,434 is: 729,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,787 : 499,434 = 499,434 : x
  2. Step 2: Convert to fraction form
    341,787/499,434 = 499,434/x
  3. Step 3: Cross multiply
    341,787x = 499,434 × 499,434
  4. Step 4: Simplify right side
    341,787x = 249,434,320,356
  5. Step 5: Solve for x
    x = 249,434,320,356/341,787
  6. Step 6: Final answer
    x = 729,794.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.