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Finding the Third Proportional to 343,046 and 530,121

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Solution

The third proportional to 343,046 and 530,121 is: 819,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,046 : 530,121 = 530,121 : x
  2. Step 2: Convert to fraction form
    343,046/530,121 = 530,121/x
  3. Step 3: Cross multiply
    343,046x = 530,121 × 530,121
  4. Step 4: Simplify right side
    343,046x = 281,028,274,641
  5. Step 5: Solve for x
    x = 281,028,274,641/343,046
  6. Step 6: Final answer
    x = 819,214.55

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Why These Related Problems?

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