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Finding the Third Proportional to 429,465,204 and 656,688,222

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Solution

The third proportional to 429,465,204 and 656,688,222 is: 1,004,131,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,465,204 : 656,688,222 = 656,688,222 : x
  2. Step 2: Convert to fraction form
    429,465,204/656,688,222 = 656,688,222/x
  3. Step 3: Cross multiply
    429,465,204x = 656,688,222 × 656,688,222
  4. Step 4: Simplify right side
    429,465,204x = 431,239,420,913,521,280
  5. Step 5: Solve for x
    x = 431,239,420,913,521,280/429,465,204
  6. Step 6: Final answer
    x = 1,004,131,223.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.