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Finding the Third Proportional to 623,042.51 and 933,526.27

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Solution

The third proportional to 623,042.51 and 933,526.27 is: 1,398,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,042.51 : 933,526.27 = 933,526.27 : x
  2. Step 2: Convert to fraction form
    623,042.51/933,526.27 = 933,526.27/x
  3. Step 3: Cross multiply
    623,042.51x = 933,526.27 × 933,526.27
  4. Step 4: Simplify right side
    623,042.51x = 871,471,288,611.76
  5. Step 5: Solve for x
    x = 871,471,288,611.76/623,042.51
  6. Step 6: Final answer
    x = 1,398,734.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.