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Finding the Third Proportional to 272,932.50 and 592,485

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Solution

The third proportional to 272,932.50 and 592,485 is: 1,286,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,932.50 : 592,485 = 592,485 : x
  2. Step 2: Convert to fraction form
    272,932.50/592,485 = 592,485/x
  3. Step 3: Cross multiply
    272,932.50x = 592,485 × 592,485
  4. Step 4: Simplify right side
    272,932.50x = 351,038,475,225
  5. Step 5: Solve for x
    x = 351,038,475,225/272,932.50
  6. Step 6: Final answer
    x = 1,286,173.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.