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Finding the Third Proportional to 265,712,879 and 374,019,233

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Solution

The third proportional to 265,712,879 and 374,019,233 is: 526,471,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,712,879 : 374,019,233 = 374,019,233 : x
  2. Step 2: Convert to fraction form
    265,712,879/374,019,233 = 374,019,233/x
  3. Step 3: Cross multiply
    265,712,879x = 374,019,233 × 374,019,233
  4. Step 4: Simplify right side
    265,712,879x = 139,890,386,653,908,288
  5. Step 5: Solve for x
    x = 139,890,386,653,908,288/265,712,879
  6. Step 6: Final answer
    x = 526,471,984.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.