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Finding the Third Proportional to 359,881.50 and 764,043

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Solution

The third proportional to 359,881.50 and 764,043 is: 1,622,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,881.50 : 764,043 = 764,043 : x
  2. Step 2: Convert to fraction form
    359,881.50/764,043 = 764,043/x
  3. Step 3: Cross multiply
    359,881.50x = 764,043 × 764,043
  4. Step 4: Simplify right side
    359,881.50x = 583,761,705,849
  5. Step 5: Solve for x
    x = 583,761,705,849/359,881.50
  6. Step 6: Final answer
    x = 1,622,094.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.