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Finding the Third Proportional to 402,148.13 and 837,374.63

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Solution

The third proportional to 402,148.13 and 837,374.63 is: 1,743,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,148.13 : 837,374.63 = 837,374.63 : x
  2. Step 2: Convert to fraction form
    402,148.13/837,374.63 = 837,374.63/x
  3. Step 3: Cross multiply
    402,148.13x = 837,374.63 × 837,374.63
  4. Step 4: Simplify right side
    402,148.13x = 701,196,262,593.89
  5. Step 5: Solve for x
    x = 701,196,262,593.89/402,148.13
  6. Step 6: Final answer
    x = 1,743,626.84

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.