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Finding the Third Proportional to 489,762.56 and 756,808.31

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Solution

The third proportional to 489,762.56 and 756,808.31 is: 1,169,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,762.56 : 756,808.31 = 756,808.31 : x
  2. Step 2: Convert to fraction form
    489,762.56/756,808.31 = 756,808.31/x
  3. Step 3: Cross multiply
    489,762.56x = 756,808.31 × 756,808.31
  4. Step 4: Simplify right side
    489,762.56x = 572,758,821,869.10
  5. Step 5: Solve for x
    x = 572,758,821,869.10/489,762.56
  6. Step 6: Final answer
    x = 1,169,462.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.