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Finding the Third Proportional to 370,409 and 560,777.50

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Solution

The third proportional to 370,409 and 560,777.50 is: 848,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,409 : 560,777.50 = 560,777.50 : x
  2. Step 2: Convert to fraction form
    370,409/560,777.50 = 560,777.50/x
  3. Step 3: Cross multiply
    370,409x = 560,777.50 × 560,777.50
  4. Step 4: Simplify right side
    370,409x = 314,471,404,506.25
  5. Step 5: Solve for x
    x = 314,471,404,506.25/370,409
  6. Step 6: Final answer
    x = 848,984.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.