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Finding the Third Proportional to 341,920 and 530,804

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Solution

The third proportional to 341,920 and 530,804 is: 824,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,920 : 530,804 = 530,804 : x
  2. Step 2: Convert to fraction form
    341,920/530,804 = 530,804/x
  3. Step 3: Cross multiply
    341,920x = 530,804 × 530,804
  4. Step 4: Simplify right side
    341,920x = 281,752,886,416
  5. Step 5: Solve for x
    x = 281,752,886,416/341,920
  6. Step 6: Final answer
    x = 824,031.61

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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.