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Finding the Third Proportional to 241,258 and 509,732

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Solution

The third proportional to 241,258 and 509,732 is: 1,076,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,258 : 509,732 = 509,732 : x
  2. Step 2: Convert to fraction form
    241,258/509,732 = 509,732/x
  3. Step 3: Cross multiply
    241,258x = 509,732 × 509,732
  4. Step 4: Simplify right side
    241,258x = 259,826,711,824
  5. Step 5: Solve for x
    x = 259,826,711,824/241,258
  6. Step 6: Final answer
    x = 1,076,966.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.