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Finding the Third Proportional to 253,303.50 and 540,475.50

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Solution

The third proportional to 253,303.50 and 540,475.50 is: 1,153,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,303.50 : 540,475.50 = 540,475.50 : x
  2. Step 2: Convert to fraction form
    253,303.50/540,475.50 = 540,475.50/x
  3. Step 3: Cross multiply
    253,303.50x = 540,475.50 × 540,475.50
  4. Step 4: Simplify right side
    253,303.50x = 292,113,766,100.25
  5. Step 5: Solve for x
    x = 292,113,766,100.25/253,303.50
  6. Step 6: Final answer
    x = 1,153,216.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.