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Finding the Third Proportional to 363,862 and 745,740

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Solution

The third proportional to 363,862 and 745,740 is: 1,528,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,862 : 745,740 = 745,740 : x
  2. Step 2: Convert to fraction form
    363,862/745,740 = 745,740/x
  3. Step 3: Cross multiply
    363,862x = 745,740 × 745,740
  4. Step 4: Simplify right side
    363,862x = 556,128,147,600
  5. Step 5: Solve for x
    x = 556,128,147,600/363,862
  6. Step 6: Final answer
    x = 1,528,404.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.