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Finding the Third Proportional to 265,854 and 573,449.50

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Solution

The third proportional to 265,854 and 573,449.50 is: 1,236,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,854 : 573,449.50 = 573,449.50 : x
  2. Step 2: Convert to fraction form
    265,854/573,449.50 = 573,449.50/x
  3. Step 3: Cross multiply
    265,854x = 573,449.50 × 573,449.50
  4. Step 4: Simplify right side
    265,854x = 328,844,329,050.25
  5. Step 5: Solve for x
    x = 328,844,329,050.25/265,854
  6. Step 6: Final answer
    x = 1,236,935.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.