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Finding the Third Proportional to 244,180 and 507,076

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Solution

The third proportional to 244,180 and 507,076 is: 1,053,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,180 : 507,076 = 507,076 : x
  2. Step 2: Convert to fraction form
    244,180/507,076 = 507,076/x
  3. Step 3: Cross multiply
    244,180x = 507,076 × 507,076
  4. Step 4: Simplify right side
    244,180x = 257,126,069,776
  5. Step 5: Solve for x
    x = 257,126,069,776/244,180
  6. Step 6: Final answer
    x = 1,053,018.55

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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.