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Finding the Third Proportional to 343,052 and 530,130

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Solution

The third proportional to 343,052 and 530,130 is: 819,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,052 : 530,130 = 530,130 : x
  2. Step 2: Convert to fraction form
    343,052/530,130 = 530,130/x
  3. Step 3: Cross multiply
    343,052x = 530,130 × 530,130
  4. Step 4: Simplify right side
    343,052x = 281,037,816,900
  5. Step 5: Solve for x
    x = 281,037,816,900/343,052
  6. Step 6: Final answer
    x = 819,228.04

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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.