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Finding the Third Proportional to 349,590 and 530,829

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Solution

The third proportional to 349,590 and 530,829 is: 806,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,590 : 530,829 = 530,829 : x
  2. Step 2: Convert to fraction form
    349,590/530,829 = 530,829/x
  3. Step 3: Cross multiply
    349,590x = 530,829 × 530,829
  4. Step 4: Simplify right side
    349,590x = 281,779,427,241
  5. Step 5: Solve for x
    x = 281,779,427,241/349,590
  6. Step 6: Final answer
    x = 806,028.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.