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Finding the Third Proportional to 259,056,364 and 561,159,512

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Solution

The third proportional to 259,056,364 and 561,159,512 is: 1,215,565,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,056,364 : 561,159,512 = 561,159,512 : x
  2. Step 2: Convert to fraction form
    259,056,364/561,159,512 = 561,159,512/x
  3. Step 3: Cross multiply
    259,056,364x = 561,159,512 × 561,159,512
  4. Step 4: Simplify right side
    259,056,364x = 314,899,997,908,078,144
  5. Step 5: Solve for x
    x = 314,899,997,908,078,144/259,056,364
  6. Step 6: Final answer
    x = 1,215,565,574.40

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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.