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Finding the Third Proportional to 362,745 and 777,978

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Solution

The third proportional to 362,745 and 777,978 is: 1,668,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,745 : 777,978 = 777,978 : x
  2. Step 2: Convert to fraction form
    362,745/777,978 = 777,978/x
  3. Step 3: Cross multiply
    362,745x = 777,978 × 777,978
  4. Step 4: Simplify right side
    362,745x = 605,249,768,484
  5. Step 5: Solve for x
    x = 605,249,768,484/362,745
  6. Step 6: Final answer
    x = 1,668,526.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.