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Finding the Third Proportional to 412,586,516 and 624,194,886

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Solution

The third proportional to 412,586,516 and 624,194,886 is: 944,333,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,586,516 : 624,194,886 = 624,194,886 : x
  2. Step 2: Convert to fraction form
    412,586,516/624,194,886 = 624,194,886/x
  3. Step 3: Cross multiply
    412,586,516x = 624,194,886 × 624,194,886
  4. Step 4: Simplify right side
    412,586,516x = 389,619,255,708,553,024
  5. Step 5: Solve for x
    x = 389,619,255,708,553,024/412,586,516
  6. Step 6: Final answer
    x = 944,333,468.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.