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Finding the Third Proportional to 342,090 and 530,982

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Solution

The third proportional to 342,090 and 530,982 is: 824,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,090 : 530,982 = 530,982 : x
  2. Step 2: Convert to fraction form
    342,090/530,982 = 530,982/x
  3. Step 3: Cross multiply
    342,090x = 530,982 × 530,982
  4. Step 4: Simplify right side
    342,090x = 281,941,884,324
  5. Step 5: Solve for x
    x = 281,941,884,324/342,090
  6. Step 6: Final answer
    x = 824,174.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.