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Finding the Third Proportional to 455,572 and 694,590

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Solution

The third proportional to 455,572 and 694,590 is: 1,059,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,572 : 694,590 = 694,590 : x
  2. Step 2: Convert to fraction form
    455,572/694,590 = 694,590/x
  3. Step 3: Cross multiply
    455,572x = 694,590 × 694,590
  4. Step 4: Simplify right side
    455,572x = 482,455,268,100
  5. Step 5: Solve for x
    x = 482,455,268,100/455,572
  6. Step 6: Final answer
    x = 1,059,009.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.