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Finding the Third Proportional to 322,098,966 and 492,516,261

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Solution

The third proportional to 322,098,966 and 492,516,261 is: 753,098,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,098,966 : 492,516,261 = 492,516,261 : x
  2. Step 2: Convert to fraction form
    322,098,966/492,516,261 = 492,516,261/x
  3. Step 3: Cross multiply
    322,098,966x = 492,516,261 × 492,516,261
  4. Step 4: Simplify right side
    322,098,966x = 242,572,267,349,420,128
  5. Step 5: Solve for x
    x = 242,572,267,349,420,128/322,098,966
  6. Step 6: Final answer
    x = 753,098,559.62

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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.