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Finding the Third Proportional to 353,889 and 763,830

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Solution

The third proportional to 353,889 and 763,830 is: 1,648,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,889 : 763,830 = 763,830 : x
  2. Step 2: Convert to fraction form
    353,889/763,830 = 763,830/x
  3. Step 3: Cross multiply
    353,889x = 763,830 × 763,830
  4. Step 4: Simplify right side
    353,889x = 583,436,268,900
  5. Step 5: Solve for x
    x = 583,436,268,900/353,889
  6. Step 6: Final answer
    x = 1,648,642.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.