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Finding the Third Proportional to 244,210 and 507,130

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Solution

The third proportional to 244,210 and 507,130 is: 1,053,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,210 : 507,130 = 507,130 : x
  2. Step 2: Convert to fraction form
    244,210/507,130 = 507,130/x
  3. Step 3: Cross multiply
    244,210x = 507,130 × 507,130
  4. Step 4: Simplify right side
    244,210x = 257,180,836,900
  5. Step 5: Solve for x
    x = 257,180,836,900/244,210
  6. Step 6: Final answer
    x = 1,053,113.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.