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Finding the Third Proportional to 287,594 and 444,850

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Solution

The third proportional to 287,594 and 444,850 is: 688,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,594 : 444,850 = 444,850 : x
  2. Step 2: Convert to fraction form
    287,594/444,850 = 444,850/x
  3. Step 3: Cross multiply
    287,594x = 444,850 × 444,850
  4. Step 4: Simplify right side
    287,594x = 197,891,522,500
  5. Step 5: Solve for x
    x = 197,891,522,500/287,594
  6. Step 6: Final answer
    x = 688,093.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.