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Finding the Third Proportional to 258,875,892 and 554,598,360

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Solution

The third proportional to 258,875,892 and 554,598,360 is: 1,188,134,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,875,892 : 554,598,360 = 554,598,360 : x
  2. Step 2: Convert to fraction form
    258,875,892/554,598,360 = 554,598,360/x
  3. Step 3: Cross multiply
    258,875,892x = 554,598,360 × 554,598,360
  4. Step 4: Simplify right side
    258,875,892x = 307,579,340,914,689,600
  5. Step 5: Solve for x
    x = 307,579,340,914,689,600/258,875,892
  6. Step 6: Final answer
    x = 1,188,134,354.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.