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Finding the Third Proportional to 466,920 and 704,592

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Solution

The third proportional to 466,920 and 704,592 is: 1,063,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,920 : 704,592 = 704,592 : x
  2. Step 2: Convert to fraction form
    466,920/704,592 = 704,592/x
  3. Step 3: Cross multiply
    466,920x = 704,592 × 704,592
  4. Step 4: Simplify right side
    466,920x = 496,449,886,464
  5. Step 5: Solve for x
    x = 496,449,886,464/466,920
  6. Step 6: Final answer
    x = 1,063,244.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.