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Finding the Third Proportional to 606,257 and 905,641.50

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Solution

The third proportional to 606,257 and 905,641.50 is: 1,352,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,257 : 905,641.50 = 905,641.50 : x
  2. Step 2: Convert to fraction form
    606,257/905,641.50 = 905,641.50/x
  3. Step 3: Cross multiply
    606,257x = 905,641.50 × 905,641.50
  4. Step 4: Simplify right side
    606,257x = 820,186,526,522.25
  5. Step 5: Solve for x
    x = 820,186,526,522.25/606,257
  6. Step 6: Final answer
    x = 1,352,869.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.