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Finding the Third Proportional to 239,367,442 and 507,558,412

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Solution

The third proportional to 239,367,442 and 507,558,412 is: 1,076,234,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,367,442 : 507,558,412 = 507,558,412 : x
  2. Step 2: Convert to fraction form
    239,367,442/507,558,412 = 507,558,412/x
  3. Step 3: Cross multiply
    239,367,442x = 507,558,412 × 507,558,412
  4. Step 4: Simplify right side
    239,367,442x = 257,615,541,591,961,728
  5. Step 5: Solve for x
    x = 257,615,541,591,961,728/239,367,442
  6. Step 6: Final answer
    x = 1,076,234,676.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.