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Finding the Third Proportional to 529,674 and 799,461

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Solution

The third proportional to 529,674 and 799,461 is: 1,206,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,674 : 799,461 = 799,461 : x
  2. Step 2: Convert to fraction form
    529,674/799,461 = 799,461/x
  3. Step 3: Cross multiply
    529,674x = 799,461 × 799,461
  4. Step 4: Simplify right side
    529,674x = 639,137,890,521
  5. Step 5: Solve for x
    x = 639,137,890,521/529,674
  6. Step 6: Final answer
    x = 1,206,662.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.