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Finding the Third Proportional to 273,090 and 594,052

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Solution

The third proportional to 273,090 and 594,052 is: 1,292,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,090 : 594,052 = 594,052 : x
  2. Step 2: Convert to fraction form
    273,090/594,052 = 594,052/x
  3. Step 3: Cross multiply
    273,090x = 594,052 × 594,052
  4. Step 4: Simplify right side
    273,090x = 352,897,778,704
  5. Step 5: Solve for x
    x = 352,897,778,704/273,090
  6. Step 6: Final answer
    x = 1,292,239.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.