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Finding the Third Proportional to 269,469,213 and 584,675,644.50

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Solution

The third proportional to 269,469,213 and 584,675,644.50 is: 1,268,588,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,469,213 : 584,675,644.50 = 584,675,644.50 : x
  2. Step 2: Convert to fraction form
    269,469,213/584,675,644.50 = 584,675,644.50/x
  3. Step 3: Cross multiply
    269,469,213x = 584,675,644.50 × 584,675,644.50
  4. Step 4: Simplify right side
    269,469,213x = 341,845,609,271,490,368
  5. Step 5: Solve for x
    x = 341,845,609,271,490,368/269,469,213
  6. Step 6: Final answer
    x = 1,268,588,739.57

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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.