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Finding the Third Proportional to 258,033 and 390,942

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Solution

The third proportional to 258,033 and 390,942 is: 592,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,033 : 390,942 = 390,942 : x
  2. Step 2: Convert to fraction form
    258,033/390,942 = 390,942/x
  3. Step 3: Cross multiply
    258,033x = 390,942 × 390,942
  4. Step 4: Simplify right side
    258,033x = 152,835,647,364
  5. Step 5: Solve for x
    x = 152,835,647,364/258,033
  6. Step 6: Final answer
    x = 592,310.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.