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Finding the Third Proportional to 232,954 and 509,527

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Solution

The third proportional to 232,954 and 509,527 is: 1,114,459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,954 : 509,527 = 509,527 : x
  2. Step 2: Convert to fraction form
    232,954/509,527 = 509,527/x
  3. Step 3: Cross multiply
    232,954x = 509,527 × 509,527
  4. Step 4: Simplify right side
    232,954x = 259,617,763,729
  5. Step 5: Solve for x
    x = 259,617,763,729/232,954
  6. Step 6: Final answer
    x = 1,114,459.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.