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Finding the Third Proportional to 233,304.75 and 499,655.25

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Solution

The third proportional to 233,304.75 and 499,655.25 is: 1,070,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,304.75 : 499,655.25 = 499,655.25 : x
  2. Step 2: Convert to fraction form
    233,304.75/499,655.25 = 499,655.25/x
  3. Step 3: Cross multiply
    233,304.75x = 499,655.25 × 499,655.25
  4. Step 4: Simplify right side
    233,304.75x = 249,655,368,852.56
  5. Step 5: Solve for x
    x = 249,655,368,852.56/233,304.75
  6. Step 6: Final answer
    x = 1,070,082.67

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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.