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Finding the Third Proportional to 345,134 and 750,991

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Solution

The third proportional to 345,134 and 750,991 is: 1,634,111.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,134 : 750,991 = 750,991 : x
  2. Step 2: Convert to fraction form
    345,134/750,991 = 750,991/x
  3. Step 3: Cross multiply
    345,134x = 750,991 × 750,991
  4. Step 4: Simplify right side
    345,134x = 563,987,482,081
  5. Step 5: Solve for x
    x = 563,987,482,081/345,134
  6. Step 6: Final answer
    x = 1,634,111.63

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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.