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Finding the Third Proportional to 249,084 and 396,534.38

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Solution

The third proportional to 249,084 and 396,534.38 is: 631,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,084 : 396,534.38 = 396,534.38 : x
  2. Step 2: Convert to fraction form
    249,084/396,534.38 = 396,534.38/x
  3. Step 3: Cross multiply
    249,084x = 396,534.38 × 396,534.38
  4. Step 4: Simplify right side
    249,084x = 157,239,510,556.64
  5. Step 5: Solve for x
    x = 157,239,510,556.64/249,084
  6. Step 6: Final answer
    x = 631,271.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.