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Finding the Third Proportional to 232,985 and 509,582

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Solution

The third proportional to 232,985 and 509,582 is: 1,114,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,985 : 509,582 = 509,582 : x
  2. Step 2: Convert to fraction form
    232,985/509,582 = 509,582/x
  3. Step 3: Cross multiply
    232,985x = 509,582 × 509,582
  4. Step 4: Simplify right side
    232,985x = 259,673,814,724
  5. Step 5: Solve for x
    x = 259,673,814,724/232,985
  6. Step 6: Final answer
    x = 1,114,551.64

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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.