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Finding the Third Proportional to 275,004 and 437,590.50

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Solution

The third proportional to 275,004 and 437,590.50 is: 696,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,004 : 437,590.50 = 437,590.50 : x
  2. Step 2: Convert to fraction form
    275,004/437,590.50 = 437,590.50/x
  3. Step 3: Cross multiply
    275,004x = 437,590.50 × 437,590.50
  4. Step 4: Simplify right side
    275,004x = 191,485,445,690.25
  5. Step 5: Solve for x
    x = 191,485,445,690.25/275,004
  6. Step 6: Final answer
    x = 696,300.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.