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Finding the Third Proportional to 249,934.50 and 536,805

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Solution

The third proportional to 249,934.50 and 536,805 is: 1,152,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,934.50 : 536,805 = 536,805 : x
  2. Step 2: Convert to fraction form
    249,934.50/536,805 = 536,805/x
  3. Step 3: Cross multiply
    249,934.50x = 536,805 × 536,805
  4. Step 4: Simplify right side
    249,934.50x = 288,159,608,025
  5. Step 5: Solve for x
    x = 288,159,608,025/249,934.50
  6. Step 6: Final answer
    x = 1,152,940.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.