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Finding the Third Proportional to 489,191 and 675,952

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Solution

The third proportional to 489,191 and 675,952 is: 934,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,191 : 675,952 = 675,952 : x
  2. Step 2: Convert to fraction form
    489,191/675,952 = 675,952/x
  3. Step 3: Cross multiply
    489,191x = 675,952 × 675,952
  4. Step 4: Simplify right side
    489,191x = 456,911,106,304
  5. Step 5: Solve for x
    x = 456,911,106,304/489,191
  6. Step 6: Final answer
    x = 934,013.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.