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Finding the Third Proportional to 400,169 and 610,416

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Solution

The third proportional to 400,169 and 610,416 is: 931,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,169 : 610,416 = 610,416 : x
  2. Step 2: Convert to fraction form
    400,169/610,416 = 610,416/x
  3. Step 3: Cross multiply
    400,169x = 610,416 × 610,416
  4. Step 4: Simplify right side
    400,169x = 372,607,693,056
  5. Step 5: Solve for x
    x = 372,607,693,056/400,169
  6. Step 6: Final answer
    x = 931,125.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.