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Finding the Third Proportional to 250,580 and 525,763

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Solution

The third proportional to 250,580 and 525,763 is: 1,103,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,580 : 525,763 = 525,763 : x
  2. Step 2: Convert to fraction form
    250,580/525,763 = 525,763/x
  3. Step 3: Cross multiply
    250,580x = 525,763 × 525,763
  4. Step 4: Simplify right side
    250,580x = 276,426,732,169
  5. Step 5: Solve for x
    x = 276,426,732,169/250,580
  6. Step 6: Final answer
    x = 1,103,147.63

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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.