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Finding the Third Proportional to 304,264,709 and 454,605,963

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Solution

The third proportional to 304,264,709 and 454,605,963 is: 679,232,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,264,709 : 454,605,963 = 454,605,963 : x
  2. Step 2: Convert to fraction form
    304,264,709/454,605,963 = 454,605,963/x
  3. Step 3: Cross multiply
    304,264,709x = 454,605,963 × 454,605,963
  4. Step 4: Simplify right side
    304,264,709x = 206,666,581,595,157,376
  5. Step 5: Solve for x
    x = 206,666,581,595,157,376/304,264,709
  6. Step 6: Final answer
    x = 679,232,837.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.