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Finding the Third Proportional to 296,479,728 and 459,626,184

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Solution

The third proportional to 296,479,728 and 459,626,184 is: 712,548,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,479,728 : 459,626,184 = 459,626,184 : x
  2. Step 2: Convert to fraction form
    296,479,728/459,626,184 = 459,626,184/x
  3. Step 3: Cross multiply
    296,479,728x = 459,626,184 × 459,626,184
  4. Step 4: Simplify right side
    296,479,728x = 211,256,229,018,401,856
  5. Step 5: Solve for x
    x = 211,256,229,018,401,856/296,479,728
  6. Step 6: Final answer
    x = 712,548,646.90

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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.