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Finding the Third Proportional to 604,341 and 906,511.50

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Solution

The third proportional to 604,341 and 906,511.50 is: 1,359,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,341 : 906,511.50 = 906,511.50 : x
  2. Step 2: Convert to fraction form
    604,341/906,511.50 = 906,511.50/x
  3. Step 3: Cross multiply
    604,341x = 906,511.50 × 906,511.50
  4. Step 4: Simplify right side
    604,341x = 821,763,099,632.25
  5. Step 5: Solve for x
    x = 821,763,099,632.25/604,341
  6. Step 6: Final answer
    x = 1,359,767.25

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