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Finding the Third Proportional to 249,326 and 513,355

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Solution

The third proportional to 249,326 and 513,355 is: 1,056,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,326 : 513,355 = 513,355 : x
  2. Step 2: Convert to fraction form
    249,326/513,355 = 513,355/x
  3. Step 3: Cross multiply
    249,326x = 513,355 × 513,355
  4. Step 4: Simplify right side
    249,326x = 263,533,356,025
  5. Step 5: Solve for x
    x = 263,533,356,025/249,326
  6. Step 6: Final answer
    x = 1,056,983.05

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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.