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Finding the Third Proportional to 445,155.75 and 690,322.50

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Solution

The third proportional to 445,155.75 and 690,322.50 is: 1,070,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,155.75 : 690,322.50 = 690,322.50 : x
  2. Step 2: Convert to fraction form
    445,155.75/690,322.50 = 690,322.50/x
  3. Step 3: Cross multiply
    445,155.75x = 690,322.50 × 690,322.50
  4. Step 4: Simplify right side
    445,155.75x = 476,545,154,006.25
  5. Step 5: Solve for x
    x = 476,545,154,006.25/445,155.75
  6. Step 6: Final answer
    x = 1,070,513.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.