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Finding the Third Proportional to 423,075.38 and 905,199.75

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Solution

The third proportional to 423,075.38 and 905,199.75 is: 1,936,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,075.38 : 905,199.75 = 905,199.75 : x
  2. Step 2: Convert to fraction form
    423,075.38/905,199.75 = 905,199.75/x
  3. Step 3: Cross multiply
    423,075.38x = 905,199.75 × 905,199.75
  4. Step 4: Simplify right side
    423,075.38x = 819,386,587,400.06
  5. Step 5: Solve for x
    x = 819,386,587,400.06/423,075.38
  6. Step 6: Final answer
    x = 1,936,739.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.