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Finding the Third Proportional to 245,623.64 and 537,069.87

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Solution

The third proportional to 245,623.64 and 537,069.87 is: 1,174,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,623.64 : 537,069.87 = 537,069.87 : x
  2. Step 2: Convert to fraction form
    245,623.64/537,069.87 = 537,069.87/x
  3. Step 3: Cross multiply
    245,623.64x = 537,069.87 × 537,069.87
  4. Step 4: Simplify right side
    245,623.64x = 288,444,042,240.80
  5. Step 5: Solve for x
    x = 288,444,042,240.80/245,623.64
  6. Step 6: Final answer
    x = 1,174,333.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.