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Finding the Third Proportional to 486,353 and 776,961

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Solution

The third proportional to 486,353 and 776,961 is: 1,241,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,353 : 776,961 = 776,961 : x
  2. Step 2: Convert to fraction form
    486,353/776,961 = 776,961/x
  3. Step 3: Cross multiply
    486,353x = 776,961 × 776,961
  4. Step 4: Simplify right side
    486,353x = 603,668,395,521
  5. Step 5: Solve for x
    x = 603,668,395,521/486,353
  6. Step 6: Final answer
    x = 1,241,214.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.