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Finding the Third Proportional to 265,116 and 560,938.50

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Solution

The third proportional to 265,116 and 560,938.50 is: 1,186,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,116 : 560,938.50 = 560,938.50 : x
  2. Step 2: Convert to fraction form
    265,116/560,938.50 = 560,938.50/x
  3. Step 3: Cross multiply
    265,116x = 560,938.50 × 560,938.50
  4. Step 4: Simplify right side
    265,116x = 314,652,000,782.25
  5. Step 5: Solve for x
    x = 314,652,000,782.25/265,116
  6. Step 6: Final answer
    x = 1,186,846.52

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.