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Finding the Third Proportional to 497,530.13 and 789,080.63

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Solution

The third proportional to 497,530.13 and 789,080.63 is: 1,251,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,530.13 : 789,080.63 = 789,080.63 : x
  2. Step 2: Convert to fraction form
    497,530.13/789,080.63 = 789,080.63/x
  3. Step 3: Cross multiply
    497,530.13x = 789,080.63 × 789,080.63
  4. Step 4: Simplify right side
    497,530.13x = 622,648,232,750.39
  5. Step 5: Solve for x
    x = 622,648,232,750.39/497,530.13
  6. Step 6: Final answer
    x = 1,251,478.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.