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Finding the Third Proportional to 345,969 and 750,978

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Solution

The third proportional to 345,969 and 750,978 is: 1,630,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,969 : 750,978 = 750,978 : x
  2. Step 2: Convert to fraction form
    345,969/750,978 = 750,978/x
  3. Step 3: Cross multiply
    345,969x = 750,978 × 750,978
  4. Step 4: Simplify right side
    345,969x = 563,967,956,484
  5. Step 5: Solve for x
    x = 563,967,956,484/345,969
  6. Step 6: Final answer
    x = 1,630,111.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.