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Finding the Third Proportional to 370,218,546 and 541,699,788.38

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Solution

The third proportional to 370,218,546 and 541,699,788.38 is: 792,609,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,218,546 : 541,699,788.38 = 541,699,788.38 : x
  2. Step 2: Convert to fraction form
    370,218,546/541,699,788.38 = 541,699,788.38/x
  3. Step 3: Cross multiply
    370,218,546x = 541,699,788.38 × 541,699,788.38
  4. Step 4: Simplify right side
    370,218,546x = 293,438,660,725,519,808
  5. Step 5: Solve for x
    x = 293,438,660,725,519,808/370,218,546
  6. Step 6: Final answer
    x = 792,609,294.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.