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Finding the Third Proportional to 265,380,075.50 and 415,395,924

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Solution

The third proportional to 265,380,075.50 and 415,395,924 is: 650,213,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,380,075.50 : 415,395,924 = 415,395,924 : x
  2. Step 2: Convert to fraction form
    265,380,075.50/415,395,924 = 415,395,924/x
  3. Step 3: Cross multiply
    265,380,075.50x = 415,395,924 × 415,395,924
  4. Step 4: Simplify right side
    265,380,075.50x = 172,553,773,675,813,760
  5. Step 5: Solve for x
    x = 172,553,773,675,813,760/265,380,075.50
  6. Step 6: Final answer
    x = 650,213,748.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.