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Finding the Third Proportional to 244,212 and 507,132

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Solution

The third proportional to 244,212 and 507,132 is: 1,053,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,212 : 507,132 = 507,132 : x
  2. Step 2: Convert to fraction form
    244,212/507,132 = 507,132/x
  3. Step 3: Cross multiply
    244,212x = 507,132 × 507,132
  4. Step 4: Simplify right side
    244,212x = 257,182,865,424
  5. Step 5: Solve for x
    x = 257,182,865,424/244,212
  6. Step 6: Final answer
    x = 1,053,113.14

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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.