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Finding the Third Proportional to 249,170 and 584,966

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Solution

The third proportional to 249,170 and 584,966 is: 1,373,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,170 : 584,966 = 584,966 : x
  2. Step 2: Convert to fraction form
    249,170/584,966 = 584,966/x
  3. Step 3: Cross multiply
    249,170x = 584,966 × 584,966
  4. Step 4: Simplify right side
    249,170x = 342,185,221,156
  5. Step 5: Solve for x
    x = 342,185,221,156/249,170
  6. Step 6: Final answer
    x = 1,373,300.24

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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.