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Finding the Third Proportional to 304,614,513 and 464,064,025.50

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Solution

The third proportional to 304,614,513 and 464,064,025.50 is: 706,976,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614,513 : 464,064,025.50 = 464,064,025.50 : x
  2. Step 2: Convert to fraction form
    304,614,513/464,064,025.50 = 464,064,025.50/x
  3. Step 3: Cross multiply
    304,614,513x = 464,064,025.50 × 464,064,025.50
  4. Step 4: Simplify right side
    304,614,513x = 215,355,419,763,264,640
  5. Step 5: Solve for x
    x = 215,355,419,763,264,640/304,614,513
  6. Step 6: Final answer
    x = 706,976,885.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.