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Finding the Third Proportional to 249,911 and 544,191.50

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Solution

The third proportional to 249,911 and 544,191.50 is: 1,184,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,911 : 544,191.50 = 544,191.50 : x
  2. Step 2: Convert to fraction form
    249,911/544,191.50 = 544,191.50/x
  3. Step 3: Cross multiply
    249,911x = 544,191.50 × 544,191.50
  4. Step 4: Simplify right side
    249,911x = 296,144,388,672.25
  5. Step 5: Solve for x
    x = 296,144,388,672.25/249,911
  6. Step 6: Final answer
    x = 1,184,999.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.