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Finding the Third Proportional to 239,367,440 and 507,558,408

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Solution

The third proportional to 239,367,440 and 507,558,408 is: 1,076,234,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,367,440 : 507,558,408 = 507,558,408 : x
  2. Step 2: Convert to fraction form
    239,367,440/507,558,408 = 507,558,408/x
  3. Step 3: Cross multiply
    239,367,440x = 507,558,408 × 507,558,408
  4. Step 4: Simplify right side
    239,367,440x = 257,615,537,531,494,464
  5. Step 5: Solve for x
    x = 257,615,537,531,494,464/239,367,440
  6. Step 6: Final answer
    x = 1,076,234,668.89

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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.