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Finding the Third Proportional to 250,506.75 and 525,630.75

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Solution

The third proportional to 250,506.75 and 525,630.75 is: 1,102,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,506.75 : 525,630.75 = 525,630.75 : x
  2. Step 2: Convert to fraction form
    250,506.75/525,630.75 = 525,630.75/x
  3. Step 3: Cross multiply
    250,506.75x = 525,630.75 × 525,630.75
  4. Step 4: Simplify right side
    250,506.75x = 276,287,685,345.56
  5. Step 5: Solve for x
    x = 276,287,685,345.56/250,506.75
  6. Step 6: Final answer
    x = 1,102,915.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.