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Finding the Third Proportional to 602,511.75 and 933,518.25

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Solution

The third proportional to 602,511.75 and 933,518.25 is: 1,446,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,511.75 : 933,518.25 = 933,518.25 : x
  2. Step 2: Convert to fraction form
    602,511.75/933,518.25 = 933,518.25/x
  3. Step 3: Cross multiply
    602,511.75x = 933,518.25 × 933,518.25
  4. Step 4: Simplify right side
    602,511.75x = 871,456,323,083.06
  5. Step 5: Solve for x
    x = 871,456,323,083.06/602,511.75
  6. Step 6: Final answer
    x = 1,446,372.33

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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.