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Finding the Third Proportional to 348,282 and 759,987

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Solution

The third proportional to 348,282 and 759,987 is: 1,658,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,282 : 759,987 = 759,987 : x
  2. Step 2: Convert to fraction form
    348,282/759,987 = 759,987/x
  3. Step 3: Cross multiply
    348,282x = 759,987 × 759,987
  4. Step 4: Simplify right side
    348,282x = 577,580,240,169
  5. Step 5: Solve for x
    x = 577,580,240,169/348,282
  6. Step 6: Final answer
    x = 1,658,369.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.