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Finding the Third Proportional to 366,726 and 583,503

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Solution

The third proportional to 366,726 and 583,503 is: 928,419.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,726 : 583,503 = 583,503 : x
  2. Step 2: Convert to fraction form
    366,726/583,503 = 583,503/x
  3. Step 3: Cross multiply
    366,726x = 583,503 × 583,503
  4. Step 4: Simplify right side
    366,726x = 340,475,751,009
  5. Step 5: Solve for x
    x = 340,475,751,009/366,726
  6. Step 6: Final answer
    x = 928,419.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.