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Finding the Third Proportional to 253,528.50 and 514,054.50

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Solution

The third proportional to 253,528.50 and 514,054.50 is: 1,042,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,528.50 : 514,054.50 = 514,054.50 : x
  2. Step 2: Convert to fraction form
    253,528.50/514,054.50 = 514,054.50/x
  3. Step 3: Cross multiply
    253,528.50x = 514,054.50 × 514,054.50
  4. Step 4: Simplify right side
    253,528.50x = 264,252,028,970.25
  5. Step 5: Solve for x
    x = 264,252,028,970.25/253,528.50
  6. Step 6: Final answer
    x = 1,042,297.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.