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Finding the Third Proportional to 263,235 and 384,980.25

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Solution

The third proportional to 263,235 and 384,980.25 is: 563,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,235 : 384,980.25 = 384,980.25 : x
  2. Step 2: Convert to fraction form
    263,235/384,980.25 = 384,980.25/x
  3. Step 3: Cross multiply
    263,235x = 384,980.25 × 384,980.25
  4. Step 4: Simplify right side
    263,235x = 148,209,792,890.06
  5. Step 5: Solve for x
    x = 148,209,792,890.06/263,235
  6. Step 6: Final answer
    x = 563,032.24

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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.