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Finding the Third Proportional to 390,846.94 and 583,969.50

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Solution

The third proportional to 390,846.94 and 583,969.50 is: 872,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,846.94 : 583,969.50 = 583,969.50 : x
  2. Step 2: Convert to fraction form
    390,846.94/583,969.50 = 583,969.50/x
  3. Step 3: Cross multiply
    390,846.94x = 583,969.50 × 583,969.50
  4. Step 4: Simplify right side
    390,846.94x = 341,020,376,930.25
  5. Step 5: Solve for x
    x = 341,020,376,930.25/390,846.94
  6. Step 6: Final answer
    x = 872,516.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.