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Finding the Third Proportional to 552,462 and 830,742

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Solution

The third proportional to 552,462 and 830,742 is: 1,249,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,462 : 830,742 = 830,742 : x
  2. Step 2: Convert to fraction form
    552,462/830,742 = 830,742/x
  3. Step 3: Cross multiply
    552,462x = 830,742 × 830,742
  4. Step 4: Simplify right side
    552,462x = 690,132,270,564
  5. Step 5: Solve for x
    x = 690,132,270,564/552,462
  6. Step 6: Final answer
    x = 1,249,194.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.