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Finding the Third Proportional to 250,870.50 and 540,621

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Solution

The third proportional to 250,870.50 and 540,621 is: 1,165,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,870.50 : 540,621 = 540,621 : x
  2. Step 2: Convert to fraction form
    250,870.50/540,621 = 540,621/x
  3. Step 3: Cross multiply
    250,870.50x = 540,621 × 540,621
  4. Step 4: Simplify right side
    250,870.50x = 292,271,065,641
  5. Step 5: Solve for x
    x = 292,271,065,641/250,870.50
  6. Step 6: Final answer
    x = 1,165,027.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.