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Finding the Third Proportional to 293,228,234 and 430,256,646

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Solution

The third proportional to 293,228,234 and 430,256,646 is: 631,319,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,228,234 : 430,256,646 = 430,256,646 : x
  2. Step 2: Convert to fraction form
    293,228,234/430,256,646 = 430,256,646/x
  3. Step 3: Cross multiply
    293,228,234x = 430,256,646 × 430,256,646
  4. Step 4: Simplify right side
    293,228,234x = 185,120,781,427,169,312
  5. Step 5: Solve for x
    x = 185,120,781,427,169,312/293,228,234
  6. Step 6: Final answer
    x = 631,319,770.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.