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Finding the Third Proportional to 287,534 and 441,348

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Solution

The third proportional to 287,534 and 441,348 is: 677,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,534 : 441,348 = 441,348 : x
  2. Step 2: Convert to fraction form
    287,534/441,348 = 441,348/x
  3. Step 3: Cross multiply
    287,534x = 441,348 × 441,348
  4. Step 4: Simplify right side
    287,534x = 194,788,057,104
  5. Step 5: Solve for x
    x = 194,788,057,104/287,534
  6. Step 6: Final answer
    x = 677,443.56

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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.