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Finding the Third Proportional to 572,069 and 776,940

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Solution

The third proportional to 572,069 and 776,940 is: 1,055,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,069 : 776,940 = 776,940 : x
  2. Step 2: Convert to fraction form
    572,069/776,940 = 776,940/x
  3. Step 3: Cross multiply
    572,069x = 776,940 × 776,940
  4. Step 4: Simplify right side
    572,069x = 603,635,763,600
  5. Step 5: Solve for x
    x = 603,635,763,600/572,069
  6. Step 6: Final answer
    x = 1,055,179.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.