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Finding the Third Proportional to 617,970 and 956,358

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Solution

The third proportional to 617,970 and 956,358 is: 1,480,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,970 : 956,358 = 956,358 : x
  2. Step 2: Convert to fraction form
    617,970/956,358 = 956,358/x
  3. Step 3: Cross multiply
    617,970x = 956,358 × 956,358
  4. Step 4: Simplify right side
    617,970x = 914,620,624,164
  5. Step 5: Solve for x
    x = 914,620,624,164/617,970
  6. Step 6: Final answer
    x = 1,480,040.49

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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.