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Finding the Third Proportional to 258,875,414 and 556,172,032

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Solution

The third proportional to 258,875,414 and 556,172,032 is: 1,194,888,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,875,414 : 556,172,032 = 556,172,032 : x
  2. Step 2: Convert to fraction form
    258,875,414/556,172,032 = 556,172,032/x
  3. Step 3: Cross multiply
    258,875,414x = 556,172,032 × 556,172,032
  4. Step 4: Simplify right side
    258,875,414x = 309,327,329,179,009,024
  5. Step 5: Solve for x
    x = 309,327,329,179,009,024/258,875,414
  6. Step 6: Final answer
    x = 1,194,888,786.07

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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.