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Finding the Third Proportional to 283,595.06 and 439,335.56

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Solution

The third proportional to 283,595.06 and 439,335.56 is: 680,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,595.06 : 439,335.56 = 439,335.56 : x
  2. Step 2: Convert to fraction form
    283,595.06/439,335.56 = 439,335.56/x
  3. Step 3: Cross multiply
    283,595.06x = 439,335.56 × 439,335.56
  4. Step 4: Simplify right side
    283,595.06x = 193,015,736,477.19
  5. Step 5: Solve for x
    x = 193,015,736,477.19/283,595.06
  6. Step 6: Final answer
    x = 680,603.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.