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Finding the Third Proportional to 482,464 and 695,040

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Solution

The third proportional to 482,464 and 695,040 is: 1,001,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,464 : 695,040 = 695,040 : x
  2. Step 2: Convert to fraction form
    482,464/695,040 = 695,040/x
  3. Step 3: Cross multiply
    482,464x = 695,040 × 695,040
  4. Step 4: Simplify right side
    482,464x = 483,080,601,600
  5. Step 5: Solve for x
    x = 483,080,601,600/482,464
  6. Step 6: Final answer
    x = 1,001,278.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.