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Finding the Third Proportional to 289,927.50 and 435,437

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Solution

The third proportional to 289,927.50 and 435,437 is: 653,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,927.50 : 435,437 = 435,437 : x
  2. Step 2: Convert to fraction form
    289,927.50/435,437 = 435,437/x
  3. Step 3: Cross multiply
    289,927.50x = 435,437 × 435,437
  4. Step 4: Simplify right side
    289,927.50x = 189,605,380,969
  5. Step 5: Solve for x
    x = 189,605,380,969/289,927.50
  6. Step 6: Final answer
    x = 653,975.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.