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Finding the Third Proportional to 270,886 and 402,430

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Solution

The third proportional to 270,886 and 402,430 is: 597,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,886 : 402,430 = 402,430 : x
  2. Step 2: Convert to fraction form
    270,886/402,430 = 402,430/x
  3. Step 3: Cross multiply
    270,886x = 402,430 × 402,430
  4. Step 4: Simplify right side
    270,886x = 161,949,904,900
  5. Step 5: Solve for x
    x = 161,949,904,900/270,886
  6. Step 6: Final answer
    x = 597,852.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.