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Finding the Third Proportional to 259,296,558 and 561,641,052

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Solution

The third proportional to 259,296,558 and 561,641,052 is: 1,216,524,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,296,558 : 561,641,052 = 561,641,052 : x
  2. Step 2: Convert to fraction form
    259,296,558/561,641,052 = 561,641,052/x
  3. Step 3: Cross multiply
    259,296,558x = 561,641,052 × 561,641,052
  4. Step 4: Simplify right side
    259,296,558x = 315,440,671,291,666,688
  5. Step 5: Solve for x
    x = 315,440,671,291,666,688/259,296,558
  6. Step 6: Final answer
    x = 1,216,524,714.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.