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Finding the Third Proportional to 296,479,732 and 459,626,190

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Solution

The third proportional to 296,479,732 and 459,626,190 is: 712,548,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,479,732 : 459,626,190 = 459,626,190 : x
  2. Step 2: Convert to fraction form
    296,479,732/459,626,190 = 459,626,190/x
  3. Step 3: Cross multiply
    296,479,732x = 459,626,190 × 459,626,190
  4. Step 4: Simplify right side
    296,479,732x = 211,256,234,533,916,096
  5. Step 5: Solve for x
    x = 211,256,234,533,916,096/296,479,732
  6. Step 6: Final answer
    x = 712,548,655.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.