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Finding the Third Proportional to 434,980 and 665,470

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Solution

The third proportional to 434,980 and 665,470 is: 1,018,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,980 : 665,470 = 665,470 : x
  2. Step 2: Convert to fraction form
    434,980/665,470 = 665,470/x
  3. Step 3: Cross multiply
    434,980x = 665,470 × 665,470
  4. Step 4: Simplify right side
    434,980x = 442,850,320,900
  5. Step 5: Solve for x
    x = 442,850,320,900/434,980
  6. Step 6: Final answer
    x = 1,018,093.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.