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Finding the Third Proportional to 489,827.75 and 756,585.75

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Solution

The third proportional to 489,827.75 and 756,585.75 is: 1,168,618.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,827.75 : 756,585.75 = 756,585.75 : x
  2. Step 2: Convert to fraction form
    489,827.75/756,585.75 = 756,585.75/x
  3. Step 3: Cross multiply
    489,827.75x = 756,585.75 × 756,585.75
  4. Step 4: Simplify right side
    489,827.75x = 572,421,997,103.06
  5. Step 5: Solve for x
    x = 572,421,997,103.06/489,827.75
  6. Step 6: Final answer
    x = 1,168,618.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.