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Finding the Third Proportional to 279,749 and 598,763

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Solution

The third proportional to 279,749 and 598,763 is: 1,281,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,749 : 598,763 = 598,763 : x
  2. Step 2: Convert to fraction form
    279,749/598,763 = 598,763/x
  3. Step 3: Cross multiply
    279,749x = 598,763 × 598,763
  4. Step 4: Simplify right side
    279,749x = 358,517,130,169
  5. Step 5: Solve for x
    x = 358,517,130,169/279,749
  6. Step 6: Final answer
    x = 1,281,567.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.