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Finding the Third Proportional to 583,929.75 and 1,282,703

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Solution

The third proportional to 583,929.75 and 1,282,703 is: 2,817,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,929.75 : 1,282,703 = 1,282,703 : x
  2. Step 2: Convert to fraction form
    583,929.75/1,282,703 = 1,282,703/x
  3. Step 3: Cross multiply
    583,929.75x = 1,282,703 × 1,282,703
  4. Step 4: Simplify right side
    583,929.75x = 1,645,326,986,209
  5. Step 5: Solve for x
    x = 1,645,326,986,209/583,929.75
  6. Step 6: Final answer
    x = 2,817,679.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.