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Finding the Third Proportional to 265,928 and 583,522

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Solution

The third proportional to 265,928 and 583,522 is: 1,280,413.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,928 : 583,522 = 583,522 : x
  2. Step 2: Convert to fraction form
    265,928/583,522 = 583,522/x
  3. Step 3: Cross multiply
    265,928x = 583,522 × 583,522
  4. Step 4: Simplify right side
    265,928x = 340,497,924,484
  5. Step 5: Solve for x
    x = 340,497,924,484/265,928
  6. Step 6: Final answer
    x = 1,280,413.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.