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Finding the Third Proportional to 241,636 and 500,264

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Solution

The third proportional to 241,636 and 500,264 is: 1,035,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,636 : 500,264 = 500,264 : x
  2. Step 2: Convert to fraction form
    241,636/500,264 = 500,264/x
  3. Step 3: Cross multiply
    241,636x = 500,264 × 500,264
  4. Step 4: Simplify right side
    241,636x = 250,264,069,696
  5. Step 5: Solve for x
    x = 250,264,069,696/241,636
  6. Step 6: Final answer
    x = 1,035,706.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.