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Finding the Third Proportional to 359,219.81 and 598,676.06

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Solution

The third proportional to 359,219.81 and 598,676.06 is: 997,754.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,219.81 : 598,676.06 = 598,676.06 : x
  2. Step 2: Convert to fraction form
    359,219.81/598,676.06 = 598,676.06/x
  3. Step 3: Cross multiply
    359,219.81x = 598,676.06 × 598,676.06
  4. Step 4: Simplify right side
    359,219.81x = 358,413,027,810.50
  5. Step 5: Solve for x
    x = 358,413,027,810.50/359,219.81
  6. Step 6: Final answer
    x = 997,754.06

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Why These Related Problems?

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