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Finding the Third Proportional to 265,454 and 583,396

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Solution

The third proportional to 265,454 and 583,396 is: 1,282,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,454 : 583,396 = 583,396 : x
  2. Step 2: Convert to fraction form
    265,454/583,396 = 583,396/x
  3. Step 3: Cross multiply
    265,454x = 583,396 × 583,396
  4. Step 4: Simplify right side
    265,454x = 340,350,892,816
  5. Step 5: Solve for x
    x = 340,350,892,816/265,454
  6. Step 6: Final answer
    x = 1,282,146.41

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Why These Related Problems?

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