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Finding the Third Proportional to 286,124 and 620,032

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Solution

The third proportional to 286,124 and 620,032 is: 1,343,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,124 : 620,032 = 620,032 : x
  2. Step 2: Convert to fraction form
    286,124/620,032 = 620,032/x
  3. Step 3: Cross multiply
    286,124x = 620,032 × 620,032
  4. Step 4: Simplify right side
    286,124x = 384,439,681,024
  5. Step 5: Solve for x
    x = 384,439,681,024/286,124
  6. Step 6: Final answer
    x = 1,343,612.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.