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Finding the Third Proportional to 245,592 and 536,838

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Solution

The third proportional to 245,592 and 536,838 is: 1,173,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,592 : 536,838 = 536,838 : x
  2. Step 2: Convert to fraction form
    245,592/536,838 = 536,838/x
  3. Step 3: Cross multiply
    245,592x = 536,838 × 536,838
  4. Step 4: Simplify right side
    245,592x = 288,195,038,244
  5. Step 5: Solve for x
    x = 288,195,038,244/245,592
  6. Step 6: Final answer
    x = 1,173,470.79

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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.