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Finding the Third Proportional to 243,108 and 530,604

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Solution

The third proportional to 243,108 and 530,604 is: 1,158,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,108 : 530,604 = 530,604 : x
  2. Step 2: Convert to fraction form
    243,108/530,604 = 530,604/x
  3. Step 3: Cross multiply
    243,108x = 530,604 × 530,604
  4. Step 4: Simplify right side
    243,108x = 281,540,604,816
  5. Step 5: Solve for x
    x = 281,540,604,816/243,108
  6. Step 6: Final answer
    x = 1,158,088.61

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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.