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Finding the Third Proportional to 258,875,412 and 556,172,028

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Solution

The third proportional to 258,875,412 and 556,172,028 is: 1,194,888,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,875,412 : 556,172,028 = 556,172,028 : x
  2. Step 2: Convert to fraction form
    258,875,412/556,172,028 = 556,172,028/x
  3. Step 3: Cross multiply
    258,875,412x = 556,172,028 × 556,172,028
  4. Step 4: Simplify right side
    258,875,412x = 309,327,324,729,632,768
  5. Step 5: Solve for x
    x = 309,327,324,729,632,768/258,875,412
  6. Step 6: Final answer
    x = 1,194,888,778.12

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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.