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Finding the Third Proportional to 364,827 and 780,087

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Solution

The third proportional to 364,827 and 780,087 is: 1,668,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,827 : 780,087 = 780,087 : x
  2. Step 2: Convert to fraction form
    364,827/780,087 = 780,087/x
  3. Step 3: Cross multiply
    364,827x = 780,087 × 780,087
  4. Step 4: Simplify right side
    364,827x = 608,535,727,569
  5. Step 5: Solve for x
    x = 608,535,727,569/364,827
  6. Step 6: Final answer
    x = 1,668,011.76

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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.