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Finding the Third Proportional to 249,540.75 and 383,950.13

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Solution

The third proportional to 249,540.75 and 383,950.13 is: 590,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,540.75 : 383,950.13 = 383,950.13 : x
  2. Step 2: Convert to fraction form
    249,540.75/383,950.13 = 383,950.13/x
  3. Step 3: Cross multiply
    249,540.75x = 383,950.13 × 383,950.13
  4. Step 4: Simplify right side
    249,540.75x = 147,417,698,487.52
  5. Step 5: Solve for x
    x = 147,417,698,487.52/249,540.75
  6. Step 6: Final answer
    x = 590,756.01

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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.