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Finding the Third Proportional to 594,011 and 787,667

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Solution

The third proportional to 594,011 and 787,667 is: 1,044,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,011 : 787,667 = 787,667 : x
  2. Step 2: Convert to fraction form
    594,011/787,667 = 787,667/x
  3. Step 3: Cross multiply
    594,011x = 787,667 × 787,667
  4. Step 4: Simplify right side
    594,011x = 620,419,302,889
  5. Step 5: Solve for x
    x = 620,419,302,889/594,011
  6. Step 6: Final answer
    x = 1,044,457.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.