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Finding the Third Proportional to 259,982,785 and 560,916,416

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Solution

The third proportional to 259,982,785 and 560,916,416 is: 1,210,184,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,982,785 : 560,916,416 = 560,916,416 : x
  2. Step 2: Convert to fraction form
    259,982,785/560,916,416 = 560,916,416/x
  3. Step 3: Cross multiply
    259,982,785x = 560,916,416 × 560,916,416
  4. Step 4: Simplify right side
    259,982,785x = 314,627,225,738,285,056
  5. Step 5: Solve for x
    x = 314,627,225,738,285,056/259,982,785
  6. Step 6: Final answer
    x = 1,210,184,842.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.