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Finding the Third Proportional to 597,414 and 946,431

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Solution

The third proportional to 597,414 and 946,431 is: 1,499,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,414 : 946,431 = 946,431 : x
  2. Step 2: Convert to fraction form
    597,414/946,431 = 946,431/x
  3. Step 3: Cross multiply
    597,414x = 946,431 × 946,431
  4. Step 4: Simplify right side
    597,414x = 895,731,637,761
  5. Step 5: Solve for x
    x = 895,731,637,761/597,414
  6. Step 6: Final answer
    x = 1,499,348.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.