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Finding the Third Proportional to 296,070 and 603,132

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Solution

The third proportional to 296,070 and 603,132 is: 1,228,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,070 : 603,132 = 603,132 : x
  2. Step 2: Convert to fraction form
    296,070/603,132 = 603,132/x
  3. Step 3: Cross multiply
    296,070x = 603,132 × 603,132
  4. Step 4: Simplify right side
    296,070x = 363,768,209,424
  5. Step 5: Solve for x
    x = 363,768,209,424/296,070
  6. Step 6: Final answer
    x = 1,228,656.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.