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Finding the Third Proportional to 296,479,730 and 459,626,187

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Solution

The third proportional to 296,479,730 and 459,626,187 is: 712,548,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,479,730 : 459,626,187 = 459,626,187 : x
  2. Step 2: Convert to fraction form
    296,479,730/459,626,187 = 459,626,187/x
  3. Step 3: Cross multiply
    296,479,730x = 459,626,187 × 459,626,187
  4. Step 4: Simplify right side
    296,479,730x = 211,256,231,776,158,976
  5. Step 5: Solve for x
    x = 211,256,231,776,158,976/296,479,730
  6. Step 6: Final answer
    x = 712,548,651.39

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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.