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Finding the Third Proportional to 265,484 and 583,456

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Solution

The third proportional to 265,484 and 583,456 is: 1,282,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,484 : 583,456 = 583,456 : x
  2. Step 2: Convert to fraction form
    265,484/583,456 = 583,456/x
  3. Step 3: Cross multiply
    265,484x = 583,456 × 583,456
  4. Step 4: Simplify right side
    265,484x = 340,420,903,936
  5. Step 5: Solve for x
    x = 340,420,903,936/265,484
  6. Step 6: Final answer
    x = 1,282,265.24

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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.