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Finding the Third Proportional to 262,959 and 575,674.50

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Solution

The third proportional to 262,959 and 575,674.50 is: 1,260,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,959 : 575,674.50 = 575,674.50 : x
  2. Step 2: Convert to fraction form
    262,959/575,674.50 = 575,674.50/x
  3. Step 3: Cross multiply
    262,959x = 575,674.50 × 575,674.50
  4. Step 4: Simplify right side
    262,959x = 331,401,129,950.25
  5. Step 5: Solve for x
    x = 331,401,129,950.25/262,959
  6. Step 6: Final answer
    x = 1,260,276.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.