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Finding the Third Proportional to 545,683.50 and 1,286,334

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Solution

The third proportional to 545,683.50 and 1,286,334 is: 3,032,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,683.50 : 1,286,334 = 1,286,334 : x
  2. Step 2: Convert to fraction form
    545,683.50/1,286,334 = 1,286,334/x
  3. Step 3: Cross multiply
    545,683.50x = 1,286,334 × 1,286,334
  4. Step 4: Simplify right side
    545,683.50x = 1,654,655,159,556
  5. Step 5: Solve for x
    x = 1,654,655,159,556/545,683.50
  6. Step 6: Final answer
    x = 3,032,261.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.