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Finding the Third Proportional to 367,083 and 812,776.50

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Solution

The third proportional to 367,083 and 812,776.50 is: 1,799,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,083 : 812,776.50 = 812,776.50 : x
  2. Step 2: Convert to fraction form
    367,083/812,776.50 = 812,776.50/x
  3. Step 3: Cross multiply
    367,083x = 812,776.50 × 812,776.50
  4. Step 4: Simplify right side
    367,083x = 660,605,638,952.25
  5. Step 5: Solve for x
    x = 660,605,638,952.25/367,083
  6. Step 6: Final answer
    x = 1,799,608.37

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.