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Finding the Third Proportional to 287,060 and 427,308

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Solution

The third proportional to 287,060 and 427,308 is: 636,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,060 : 427,308 = 427,308 : x
  2. Step 2: Convert to fraction form
    287,060/427,308 = 427,308/x
  3. Step 3: Cross multiply
    287,060x = 427,308 × 427,308
  4. Step 4: Simplify right side
    287,060x = 182,592,126,864
  5. Step 5: Solve for x
    x = 182,592,126,864/287,060
  6. Step 6: Final answer
    x = 636,076.52

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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.