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Finding the Third Proportional to 416,521.50 and 608,995.50

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Solution

The third proportional to 416,521.50 and 608,995.50 is: 890,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,521.50 : 608,995.50 = 608,995.50 : x
  2. Step 2: Convert to fraction form
    416,521.50/608,995.50 = 608,995.50/x
  3. Step 3: Cross multiply
    416,521.50x = 608,995.50 × 608,995.50
  4. Step 4: Simplify right side
    416,521.50x = 370,875,519,020.25
  5. Step 5: Solve for x
    x = 370,875,519,020.25/416,521.50
  6. Step 6: Final answer
    x = 890,411.47

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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.