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Finding the Third Proportional to 304,614,704 and 464,064,289

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Solution

The third proportional to 304,614,704 and 464,064,289 is: 706,977,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614,704 : 464,064,289 = 464,064,289 : x
  2. Step 2: Convert to fraction form
    304,614,704/464,064,289 = 464,064,289/x
  3. Step 3: Cross multiply
    304,614,704x = 464,064,289 × 464,064,289
  4. Step 4: Simplify right side
    304,614,704x = 215,355,664,325,075,520
  5. Step 5: Solve for x
    x = 215,355,664,325,075,520/304,614,704
  6. Step 6: Final answer
    x = 706,977,245.34

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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.