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Finding the Third Proportional to 250,520 and 525,657.50

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Solution

The third proportional to 250,520 and 525,657.50 is: 1,102,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,520 : 525,657.50 = 525,657.50 : x
  2. Step 2: Convert to fraction form
    250,520/525,657.50 = 525,657.50/x
  3. Step 3: Cross multiply
    250,520x = 525,657.50 × 525,657.50
  4. Step 4: Simplify right side
    250,520x = 276,315,807,306.25
  5. Step 5: Solve for x
    x = 276,315,807,306.25/250,520
  6. Step 6: Final answer
    x = 1,102,969.05

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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.