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Finding the Third Proportional to 292,050 and 594,684

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Solution

The third proportional to 292,050 and 594,684 is: 1,210,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,050 : 594,684 = 594,684 : x
  2. Step 2: Convert to fraction form
    292,050/594,684 = 594,684/x
  3. Step 3: Cross multiply
    292,050x = 594,684 × 594,684
  4. Step 4: Simplify right side
    292,050x = 353,649,059,856
  5. Step 5: Solve for x
    x = 353,649,059,856/292,050
  6. Step 6: Final answer
    x = 1,210,919.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.