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Finding the Third Proportional to 295,871 and 480,693

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Solution

The third proportional to 295,871 and 480,693 is: 780,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,871 : 480,693 = 480,693 : x
  2. Step 2: Convert to fraction form
    295,871/480,693 = 480,693/x
  3. Step 3: Cross multiply
    295,871x = 480,693 × 480,693
  4. Step 4: Simplify right side
    295,871x = 231,065,760,249
  5. Step 5: Solve for x
    x = 231,065,760,249/295,871
  6. Step 6: Final answer
    x = 780,967.92

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.