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Finding the Third Proportional to 249,686 and 546,082

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Solution

The third proportional to 249,686 and 546,082 is: 1,194,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,686 : 546,082 = 546,082 : x
  2. Step 2: Convert to fraction form
    249,686/546,082 = 546,082/x
  3. Step 3: Cross multiply
    249,686x = 546,082 × 546,082
  4. Step 4: Simplify right side
    249,686x = 298,205,550,724
  5. Step 5: Solve for x
    x = 298,205,550,724/249,686
  6. Step 6: Final answer
    x = 1,194,322.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.