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Finding the Third Proportional to 332,318,025 and 723,153,609

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Solution

The third proportional to 332,318,025 and 723,153,609 is: 1,573,646,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,318,025 : 723,153,609 = 723,153,609 : x
  2. Step 2: Convert to fraction form
    332,318,025/723,153,609 = 723,153,609/x
  3. Step 3: Cross multiply
    332,318,025x = 723,153,609 × 723,153,609
  4. Step 4: Simplify right side
    332,318,025x = 522,951,142,209,724,864
  5. Step 5: Solve for x
    x = 522,951,142,209,724,864/332,318,025
  6. Step 6: Final answer
    x = 1,573,646,636.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.