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Finding the Third Proportional to 285,054 and 602,148

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Solution

The third proportional to 285,054 and 602,148 is: 1,271,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,054 : 602,148 = 602,148 : x
  2. Step 2: Convert to fraction form
    285,054/602,148 = 602,148/x
  3. Step 3: Cross multiply
    285,054x = 602,148 × 602,148
  4. Step 4: Simplify right side
    285,054x = 362,582,213,904
  5. Step 5: Solve for x
    x = 362,582,213,904/285,054
  6. Step 6: Final answer
    x = 1,271,977.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.