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Finding the Third Proportional to 245,713.50 and 525,583.13

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Solution

The third proportional to 245,713.50 and 525,583.13 is: 1,124,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,713.50 : 525,583.13 = 525,583.13 : x
  2. Step 2: Convert to fraction form
    245,713.50/525,583.13 = 525,583.13/x
  3. Step 3: Cross multiply
    245,713.50x = 525,583.13 × 525,583.13
  4. Step 4: Simplify right side
    245,713.50x = 276,237,621,284.77
  5. Step 5: Solve for x
    x = 276,237,621,284.77/245,713.50
  6. Step 6: Final answer
    x = 1,124,226.47

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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.