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Finding the Third Proportional to 233,410.88 and 370,530.56

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Solution

The third proportional to 233,410.88 and 370,530.56 is: 588,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,410.88 : 370,530.56 = 370,530.56 : x
  2. Step 2: Convert to fraction form
    233,410.88/370,530.56 = 370,530.56/x
  3. Step 3: Cross multiply
    233,410.88x = 370,530.56 × 370,530.56
  4. Step 4: Simplify right side
    233,410.88x = 137,292,897,746.57
  5. Step 5: Solve for x
    x = 137,292,897,746.57/233,410.88
  6. Step 6: Final answer
    x = 588,202.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.