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Finding the Third Proportional to 404,070 and 606,105

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Solution

The third proportional to 404,070 and 606,105 is: 909,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,070 : 606,105 = 606,105 : x
  2. Step 2: Convert to fraction form
    404,070/606,105 = 606,105/x
  3. Step 3: Cross multiply
    404,070x = 606,105 × 606,105
  4. Step 4: Simplify right side
    404,070x = 367,363,271,025
  5. Step 5: Solve for x
    x = 367,363,271,025/404,070
  6. Step 6: Final answer
    x = 909,157.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.