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Finding the Third Proportional to 285,051 and 602,142

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Solution

The third proportional to 285,051 and 602,142 is: 1,271,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,051 : 602,142 = 602,142 : x
  2. Step 2: Convert to fraction form
    285,051/602,142 = 602,142/x
  3. Step 3: Cross multiply
    285,051x = 602,142 × 602,142
  4. Step 4: Simplify right side
    285,051x = 362,574,988,164
  5. Step 5: Solve for x
    x = 362,574,988,164/285,051
  6. Step 6: Final answer
    x = 1,271,965.33

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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.