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Finding the Third Proportional to 600,780.25 and 901,290

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Solution

The third proportional to 600,780.25 and 901,290 is: 1,352,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,780.25 : 901,290 = 901,290 : x
  2. Step 2: Convert to fraction form
    600,780.25/901,290 = 901,290/x
  3. Step 3: Cross multiply
    600,780.25x = 901,290 × 901,290
  4. Step 4: Simplify right side
    600,780.25x = 812,323,664,100
  5. Step 5: Solve for x
    x = 812,323,664,100/600,780.25
  6. Step 6: Final answer
    x = 1,352,114.46

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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.