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Finding the Third Proportional to 343,048 and 530,124

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Solution

The third proportional to 343,048 and 530,124 is: 819,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,048 : 530,124 = 530,124 : x
  2. Step 2: Convert to fraction form
    343,048/530,124 = 530,124/x
  3. Step 3: Cross multiply
    343,048x = 530,124 × 530,124
  4. Step 4: Simplify right side
    343,048x = 281,031,455,376
  5. Step 5: Solve for x
    x = 281,031,455,376/343,048
  6. Step 6: Final answer
    x = 819,219.05

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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.