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Finding the Third Proportional to 289,932 and 599,752.50

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Solution

The third proportional to 289,932 and 599,752.50 is: 1,240,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,932 : 599,752.50 = 599,752.50 : x
  2. Step 2: Convert to fraction form
    289,932/599,752.50 = 599,752.50/x
  3. Step 3: Cross multiply
    289,932x = 599,752.50 × 599,752.50
  4. Step 4: Simplify right side
    289,932x = 359,703,061,256.25
  5. Step 5: Solve for x
    x = 359,703,061,256.25/289,932
  6. Step 6: Final answer
    x = 1,240,646.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.