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Finding the Third Proportional to 249,168 and 584,961

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Solution

The third proportional to 249,168 and 584,961 is: 1,373,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,168 : 584,961 = 584,961 : x
  2. Step 2: Convert to fraction form
    249,168/584,961 = 584,961/x
  3. Step 3: Cross multiply
    249,168x = 584,961 × 584,961
  4. Step 4: Simplify right side
    249,168x = 342,179,371,521
  5. Step 5: Solve for x
    x = 342,179,371,521/249,168
  6. Step 6: Final answer
    x = 1,373,287.79

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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.