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Finding the Third Proportional to 260,932,465.13 and 364,993,512.75

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Solution

The third proportional to 260,932,465.13 and 364,993,512.75 is: 510,554,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,932,465.13 : 364,993,512.75 = 364,993,512.75 : x
  2. Step 2: Convert to fraction form
    260,932,465.13/364,993,512.75 = 364,993,512.75/x
  3. Step 3: Cross multiply
    260,932,465.13x = 364,993,512.75 × 364,993,512.75
  4. Step 4: Simplify right side
    260,932,465.13x = 133,220,264,349,584,416
  5. Step 5: Solve for x
    x = 133,220,264,349,584,416/260,932,465.13
  6. Step 6: Final answer
    x = 510,554,576.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.