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Finding the Third Proportional to 244,596 and 537,303

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Solution

The third proportional to 244,596 and 537,303 is: 1,180,291.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,596 : 537,303 = 537,303 : x
  2. Step 2: Convert to fraction form
    244,596/537,303 = 537,303/x
  3. Step 3: Cross multiply
    244,596x = 537,303 × 537,303
  4. Step 4: Simplify right side
    244,596x = 288,694,513,809
  5. Step 5: Solve for x
    x = 288,694,513,809/244,596
  6. Step 6: Final answer
    x = 1,180,291.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.