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Finding the Third Proportional to 359,232.50 and 598,695.50

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Solution

The third proportional to 359,232.50 and 598,695.50 is: 997,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,232.50 : 598,695.50 = 598,695.50 : x
  2. Step 2: Convert to fraction form
    359,232.50/598,695.50 = 598,695.50/x
  3. Step 3: Cross multiply
    359,232.50x = 598,695.50 × 598,695.50
  4. Step 4: Simplify right side
    359,232.50x = 358,436,301,720.25
  5. Step 5: Solve for x
    x = 358,436,301,720.25/359,232.50
  6. Step 6: Final answer
    x = 997,783.61

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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.