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Finding the Third Proportional to 499,577.63 and 761,805

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Solution

The third proportional to 499,577.63 and 761,805 is: 1,161,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,577.63 : 761,805 = 761,805 : x
  2. Step 2: Convert to fraction form
    499,577.63/761,805 = 761,805/x
  3. Step 3: Cross multiply
    499,577.63x = 761,805 × 761,805
  4. Step 4: Simplify right side
    499,577.63x = 580,346,858,025
  5. Step 5: Solve for x
    x = 580,346,858,025/499,577.63
  6. Step 6: Final answer
    x = 1,161,675.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.