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Finding the Third Proportional to 249,324 and 513,351

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Solution

The third proportional to 249,324 and 513,351 is: 1,056,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,324 : 513,351 = 513,351 : x
  2. Step 2: Convert to fraction form
    249,324/513,351 = 513,351/x
  3. Step 3: Cross multiply
    249,324x = 513,351 × 513,351
  4. Step 4: Simplify right side
    249,324x = 263,529,249,201
  5. Step 5: Solve for x
    x = 263,529,249,201/249,324
  6. Step 6: Final answer
    x = 1,056,975.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.