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Finding the Third Proportional to 247,230 and 506,205

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Solution

The third proportional to 247,230 and 506,205 is: 1,036,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,230 : 506,205 = 506,205 : x
  2. Step 2: Convert to fraction form
    247,230/506,205 = 506,205/x
  3. Step 3: Cross multiply
    247,230x = 506,205 × 506,205
  4. Step 4: Simplify right side
    247,230x = 256,243,502,025
  5. Step 5: Solve for x
    x = 256,243,502,025/247,230
  6. Step 6: Final answer
    x = 1,036,457.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.