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Finding the Third Proportional to 486,399.94 and 731,156.63

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Solution

The third proportional to 486,399.94 and 731,156.63 is: 1,099,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,399.94 : 731,156.63 = 731,156.63 : x
  2. Step 2: Convert to fraction form
    486,399.94/731,156.63 = 731,156.63/x
  3. Step 3: Cross multiply
    486,399.94x = 731,156.63 × 731,156.63
  4. Step 4: Simplify right side
    486,399.94x = 534,590,010,281.39
  5. Step 5: Solve for x
    x = 534,590,010,281.39/486,399.94
  6. Step 6: Final answer
    x = 1,099,075.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.