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Finding the Third Proportional to 245,238 and 528,042

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Solution

The third proportional to 245,238 and 528,042 is: 1,136,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,238 : 528,042 = 528,042 : x
  2. Step 2: Convert to fraction form
    245,238/528,042 = 528,042/x
  3. Step 3: Cross multiply
    245,238x = 528,042 × 528,042
  4. Step 4: Simplify right side
    245,238x = 278,828,353,764
  5. Step 5: Solve for x
    x = 278,828,353,764/245,238
  6. Step 6: Final answer
    x = 1,136,970.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.