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Finding the Third Proportional to 489,334 and 715,118

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Solution

The third proportional to 489,334 and 715,118 is: 1,045,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,334 : 715,118 = 715,118 : x
  2. Step 2: Convert to fraction form
    489,334/715,118 = 715,118/x
  3. Step 3: Cross multiply
    489,334x = 715,118 × 715,118
  4. Step 4: Simplify right side
    489,334x = 511,393,753,924
  5. Step 5: Solve for x
    x = 511,393,753,924/489,334
  6. Step 6: Final answer
    x = 1,045,081.18

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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.