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Finding the Third Proportional to 233,020 and 509,650

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Solution

The third proportional to 233,020 and 509,650 is: 1,114,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,020 : 509,650 = 509,650 : x
  2. Step 2: Convert to fraction form
    233,020/509,650 = 509,650/x
  3. Step 3: Cross multiply
    233,020x = 509,650 × 509,650
  4. Step 4: Simplify right side
    233,020x = 259,743,122,500
  5. Step 5: Solve for x
    x = 259,743,122,500/233,020
  6. Step 6: Final answer
    x = 1,114,681.67

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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.