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Finding the Third Proportional to 368,461 and 799,130

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Solution

The third proportional to 368,461 and 799,130 is: 1,733,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,461 : 799,130 = 799,130 : x
  2. Step 2: Convert to fraction form
    368,461/799,130 = 799,130/x
  3. Step 3: Cross multiply
    368,461x = 799,130 × 799,130
  4. Step 4: Simplify right side
    368,461x = 638,608,756,900
  5. Step 5: Solve for x
    x = 638,608,756,900/368,461
  6. Step 6: Final answer
    x = 1,733,178.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.