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Finding the Third Proportional to 359,222.63 and 598,680

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Solution

The third proportional to 359,222.63 and 598,680 is: 997,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,222.63 : 598,680 = 598,680 : x
  2. Step 2: Convert to fraction form
    359,222.63/598,680 = 598,680/x
  3. Step 3: Cross multiply
    359,222.63x = 598,680 × 598,680
  4. Step 4: Simplify right side
    359,222.63x = 358,417,742,400
  5. Step 5: Solve for x
    x = 358,417,742,400/359,222.63
  6. Step 6: Final answer
    x = 997,759.38

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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.