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Finding the Third Proportional to 489,780.84 and 756,507.09

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Solution

The third proportional to 489,780.84 and 756,507.09 is: 1,168,487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,780.84 : 756,507.09 = 756,507.09 : x
  2. Step 2: Convert to fraction form
    489,780.84/756,507.09 = 756,507.09/x
  3. Step 3: Cross multiply
    489,780.84x = 756,507.09 × 756,507.09
  4. Step 4: Simplify right side
    489,780.84x = 572,302,982,894.07
  5. Step 5: Solve for x
    x = 572,302,982,894.07/489,780.84
  6. Step 6: Final answer
    x = 1,168,487.89

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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.