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Finding the Third Proportional to 374,532 and 819,130

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Solution

The third proportional to 374,532 and 819,130 is: 1,791,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,532 : 819,130 = 819,130 : x
  2. Step 2: Convert to fraction form
    374,532/819,130 = 819,130/x
  3. Step 3: Cross multiply
    374,532x = 819,130 × 819,130
  4. Step 4: Simplify right side
    374,532x = 670,973,956,900
  5. Step 5: Solve for x
    x = 670,973,956,900/374,532
  6. Step 6: Final answer
    x = 1,791,499.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.