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Finding the Third Proportional to 520,086 and 776,696

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Solution

The third proportional to 520,086 and 776,696 is: 1,159,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,086 : 776,696 = 776,696 : x
  2. Step 2: Convert to fraction form
    520,086/776,696 = 776,696/x
  3. Step 3: Cross multiply
    520,086x = 776,696 × 776,696
  4. Step 4: Simplify right side
    520,086x = 603,256,676,416
  5. Step 5: Solve for x
    x = 603,256,676,416/520,086
  6. Step 6: Final answer
    x = 1,159,917.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.