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Finding the Third Proportional to 283,345.59 and 612,367.59

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Solution

The third proportional to 283,345.59 and 612,367.59 is: 1,323,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,345.59 : 612,367.59 = 612,367.59 : x
  2. Step 2: Convert to fraction form
    283,345.59/612,367.59 = 612,367.59/x
  3. Step 3: Cross multiply
    283,345.59x = 612,367.59 × 612,367.59
  4. Step 4: Simplify right side
    283,345.59x = 374,994,069,875.17
  5. Step 5: Solve for x
    x = 374,994,069,875.17/283,345.59
  6. Step 6: Final answer
    x = 1,323,451.21

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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.