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Finding the Third Proportional to 270,417.66 and 577,035.98

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Solution

The third proportional to 270,417.66 and 577,035.98 is: 1,231,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,417.66 : 577,035.98 = 577,035.98 : x
  2. Step 2: Convert to fraction form
    270,417.66/577,035.98 = 577,035.98/x
  3. Step 3: Cross multiply
    270,417.66x = 577,035.98 × 577,035.98
  4. Step 4: Simplify right side
    270,417.66x = 332,970,527,263.63
  5. Step 5: Solve for x
    x = 332,970,527,263.63/270,417.66
  6. Step 6: Final answer
    x = 1,231,319.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.