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Finding the Third Proportional to 364,316,949 and 532,811,892

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Solution

The third proportional to 364,316,949 and 532,811,892 is: 779,234,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,316,949 : 532,811,892 = 532,811,892 : x
  2. Step 2: Convert to fraction form
    364,316,949/532,811,892 = 532,811,892/x
  3. Step 3: Cross multiply
    364,316,949x = 532,811,892 × 532,811,892
  4. Step 4: Simplify right side
    364,316,949x = 283,888,512,256,619,648
  5. Step 5: Solve for x
    x = 283,888,512,256,619,648/364,316,949
  6. Step 6: Final answer
    x = 779,234,984.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.