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Finding the Third Proportional to 249,162 and 584,946

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Solution

The third proportional to 249,162 and 584,946 is: 1,373,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,162 : 584,946 = 584,946 : x
  2. Step 2: Convert to fraction form
    249,162/584,946 = 584,946/x
  3. Step 3: Cross multiply
    249,162x = 584,946 × 584,946
  4. Step 4: Simplify right side
    249,162x = 342,161,822,916
  5. Step 5: Solve for x
    x = 342,161,822,916/249,162
  6. Step 6: Final answer
    x = 1,373,250.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.