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Finding the Third Proportional to 230,052 and 500,604

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Solution

The third proportional to 230,052 and 500,604 is: 1,089,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,052 : 500,604 = 500,604 : x
  2. Step 2: Convert to fraction form
    230,052/500,604 = 500,604/x
  3. Step 3: Cross multiply
    230,052x = 500,604 × 500,604
  4. Step 4: Simplify right side
    230,052x = 250,604,364,816
  5. Step 5: Solve for x
    x = 250,604,364,816/230,052
  6. Step 6: Final answer
    x = 1,089,337.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.