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Finding the Third Proportional to 249,858.38 and 383,813.25

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Solution

The third proportional to 249,858.38 and 383,813.25 is: 589,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,858.38 : 383,813.25 = 383,813.25 : x
  2. Step 2: Convert to fraction form
    249,858.38/383,813.25 = 383,813.25/x
  3. Step 3: Cross multiply
    249,858.38x = 383,813.25 × 383,813.25
  4. Step 4: Simplify right side
    249,858.38x = 147,312,610,875.56
  5. Step 5: Solve for x
    x = 147,312,610,875.56/249,858.38
  6. Step 6: Final answer
    x = 589,584.44

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.