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Finding the Third Proportional to 364,996 and 780,434

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Solution

The third proportional to 364,996 and 780,434 is: 1,668,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,996 : 780,434 = 780,434 : x
  2. Step 2: Convert to fraction form
    364,996/780,434 = 780,434/x
  3. Step 3: Cross multiply
    364,996x = 780,434 × 780,434
  4. Step 4: Simplify right side
    364,996x = 609,077,228,356
  5. Step 5: Solve for x
    x = 609,077,228,356/364,996
  6. Step 6: Final answer
    x = 1,668,723.02

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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.