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Finding the Third Proportional to 232,918 and 369,409

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Solution

The third proportional to 232,918 and 369,409 is: 585,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,918 : 369,409 = 369,409 : x
  2. Step 2: Convert to fraction form
    232,918/369,409 = 369,409/x
  3. Step 3: Cross multiply
    232,918x = 369,409 × 369,409
  4. Step 4: Simplify right side
    232,918x = 136,463,009,281
  5. Step 5: Solve for x
    x = 136,463,009,281/232,918
  6. Step 6: Final answer
    x = 585,884.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.