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Finding the Third Proportional to 295,783 and 482,935

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Solution

The third proportional to 295,783 and 482,935 is: 788,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,783 : 482,935 = 482,935 : x
  2. Step 2: Convert to fraction form
    295,783/482,935 = 482,935/x
  3. Step 3: Cross multiply
    295,783x = 482,935 × 482,935
  4. Step 4: Simplify right side
    295,783x = 233,226,214,225
  5. Step 5: Solve for x
    x = 233,226,214,225/295,783
  6. Step 6: Final answer
    x = 788,504.46

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.