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Finding the Third Proportional to 617,967 and 956,353

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Solution

The third proportional to 617,967 and 956,353 is: 1,480,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,967 : 956,353 = 956,353 : x
  2. Step 2: Convert to fraction form
    617,967/956,353 = 956,353/x
  3. Step 3: Cross multiply
    617,967x = 956,353 × 956,353
  4. Step 4: Simplify right side
    617,967x = 914,611,060,609
  5. Step 5: Solve for x
    x = 914,611,060,609/617,967
  6. Step 6: Final answer
    x = 1,480,032.20

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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.