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Finding the Third Proportional to 292,684 and 437,778

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Solution

The third proportional to 292,684 and 437,778 is: 654,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,684 : 437,778 = 437,778 : x
  2. Step 2: Convert to fraction form
    292,684/437,778 = 437,778/x
  3. Step 3: Cross multiply
    292,684x = 437,778 × 437,778
  4. Step 4: Simplify right side
    292,684x = 191,649,577,284
  5. Step 5: Solve for x
    x = 191,649,577,284/292,684
  6. Step 6: Final answer
    x = 654,800.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.