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Finding the Third Proportional to 292,176 and 606,816

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Solution

The third proportional to 292,176 and 606,816 is: 1,260,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,176 : 606,816 = 606,816 : x
  2. Step 2: Convert to fraction form
    292,176/606,816 = 606,816/x
  3. Step 3: Cross multiply
    292,176x = 606,816 × 606,816
  4. Step 4: Simplify right side
    292,176x = 368,225,657,856
  5. Step 5: Solve for x
    x = 368,225,657,856/292,176
  6. Step 6: Final answer
    x = 1,260,287.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.