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Finding the Third Proportional to 293,228,224 and 430,256,633

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Solution

The third proportional to 293,228,224 and 430,256,633 is: 631,319,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,228,224 : 430,256,633 = 430,256,633 : x
  2. Step 2: Convert to fraction form
    293,228,224/430,256,633 = 430,256,633/x
  3. Step 3: Cross multiply
    293,228,224x = 430,256,633 × 430,256,633
  4. Step 4: Simplify right side
    293,228,224x = 185,120,770,240,496,704
  5. Step 5: Solve for x
    x = 185,120,770,240,496,704/293,228,224
  6. Step 6: Final answer
    x = 631,319,754.00

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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.