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Finding the Third Proportional to 489,763.50 and 756,810

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Solution

The third proportional to 489,763.50 and 756,810 is: 1,169,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,763.50 : 756,810 = 756,810 : x
  2. Step 2: Convert to fraction form
    489,763.50/756,810 = 756,810/x
  3. Step 3: Cross multiply
    489,763.50x = 756,810 × 756,810
  4. Step 4: Simplify right side
    489,763.50x = 572,761,376,100
  5. Step 5: Solve for x
    x = 572,761,376,100/489,763.50
  6. Step 6: Final answer
    x = 1,169,465.21

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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.