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Finding the Third Proportional to 245,715.75 and 525,588.75

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Solution

The third proportional to 245,715.75 and 525,588.75 is: 1,124,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,715.75 : 525,588.75 = 525,588.75 : x
  2. Step 2: Convert to fraction form
    245,715.75/525,588.75 = 525,588.75/x
  3. Step 3: Cross multiply
    245,715.75x = 525,588.75 × 525,588.75
  4. Step 4: Simplify right side
    245,715.75x = 276,243,534,126.56
  5. Step 5: Solve for x
    x = 276,243,534,126.56/245,715.75
  6. Step 6: Final answer
    x = 1,124,240.24

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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.