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Finding the Third Proportional to 249,584 and 589,184

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Solution

The third proportional to 249,584 and 589,184 is: 1,390,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,584 : 589,184 = 589,184 : x
  2. Step 2: Convert to fraction form
    249,584/589,184 = 589,184/x
  3. Step 3: Cross multiply
    249,584x = 589,184 × 589,184
  4. Step 4: Simplify right side
    249,584x = 347,137,785,856
  5. Step 5: Solve for x
    x = 347,137,785,856/249,584
  6. Step 6: Final answer
    x = 1,390,865.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.