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Finding the Third Proportional to 258,875,346 and 556,171,896

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Solution

The third proportional to 258,875,346 and 556,171,896 is: 1,194,888,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,875,346 : 556,171,896 = 556,171,896 : x
  2. Step 2: Convert to fraction form
    258,875,346/556,171,896 = 556,171,896/x
  3. Step 3: Cross multiply
    258,875,346x = 556,171,896 × 556,171,896
  4. Step 4: Simplify right side
    258,875,346x = 309,327,177,900,234,816
  5. Step 5: Solve for x
    x = 309,327,177,900,234,816/258,875,346
  6. Step 6: Final answer
    x = 1,194,888,515.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.