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Finding the Third Proportional to 597,400 and 946,413

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Solution

The third proportional to 597,400 and 946,413 is: 1,499,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,400 : 946,413 = 946,413 : x
  2. Step 2: Convert to fraction form
    597,400/946,413 = 946,413/x
  3. Step 3: Cross multiply
    597,400x = 946,413 × 946,413
  4. Step 4: Simplify right side
    597,400x = 895,697,566,569
  5. Step 5: Solve for x
    x = 895,697,566,569/597,400
  6. Step 6: Final answer
    x = 1,499,326.36

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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.