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Finding the Third Proportional to 360,968 and 529,140

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Solution

The third proportional to 360,968 and 529,140 is: 775,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,968 : 529,140 = 529,140 : x
  2. Step 2: Convert to fraction form
    360,968/529,140 = 529,140/x
  3. Step 3: Cross multiply
    360,968x = 529,140 × 529,140
  4. Step 4: Simplify right side
    360,968x = 279,989,139,600
  5. Step 5: Solve for x
    x = 279,989,139,600/360,968
  6. Step 6: Final answer
    x = 775,661.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.