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Finding the Third Proportional to 345,573.50 and 540,933.50

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Solution

The third proportional to 345,573.50 and 540,933.50 is: 846,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,573.50 : 540,933.50 = 540,933.50 : x
  2. Step 2: Convert to fraction form
    345,573.50/540,933.50 = 540,933.50/x
  3. Step 3: Cross multiply
    345,573.50x = 540,933.50 × 540,933.50
  4. Step 4: Simplify right side
    345,573.50x = 292,609,051,422.25
  5. Step 5: Solve for x
    x = 292,609,051,422.25/345,573.50
  6. Step 6: Final answer
    x = 846,734.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.