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Finding the Third Proportional to 265,464 and 583,416

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Solution

The third proportional to 265,464 and 583,416 is: 1,282,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,464 : 583,416 = 583,416 : x
  2. Step 2: Convert to fraction form
    265,464/583,416 = 583,416/x
  3. Step 3: Cross multiply
    265,464x = 583,416 × 583,416
  4. Step 4: Simplify right side
    265,464x = 340,374,229,056
  5. Step 5: Solve for x
    x = 340,374,229,056/265,464
  6. Step 6: Final answer
    x = 1,282,186.02

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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.