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Finding the Third Proportional to 359,224.31 and 598,683.09

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Solution

The third proportional to 359,224.31 and 598,683.09 is: 997,765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,224.31 : 598,683.09 = 598,683.09 : x
  2. Step 2: Convert to fraction form
    359,224.31/598,683.09 = 598,683.09/x
  3. Step 3: Cross multiply
    359,224.31x = 598,683.09 × 598,683.09
  4. Step 4: Simplify right side
    359,224.31x = 358,421,446,742.07
  5. Step 5: Solve for x
    x = 358,421,446,742.07/359,224.31
  6. Step 6: Final answer
    x = 997,765.00

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.