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Finding the Third Proportional to 489,504 and 715,464

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Solution

The third proportional to 489,504 and 715,464 is: 1,045,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,504 : 715,464 = 715,464 : x
  2. Step 2: Convert to fraction form
    489,504/715,464 = 715,464/x
  3. Step 3: Cross multiply
    489,504x = 715,464 × 715,464
  4. Step 4: Simplify right side
    489,504x = 511,888,735,296
  5. Step 5: Solve for x
    x = 511,888,735,296/489,504
  6. Step 6: Final answer
    x = 1,045,729.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.