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Finding the Third Proportional to 248,328.94 and 536,350.38

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Solution

The third proportional to 248,328.94 and 536,350.38 is: 1,158,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,328.94 : 536,350.38 = 536,350.38 : x
  2. Step 2: Convert to fraction form
    248,328.94/536,350.38 = 536,350.38/x
  3. Step 3: Cross multiply
    248,328.94x = 536,350.38 × 536,350.38
  4. Step 4: Simplify right side
    248,328.94x = 287,671,724,762.64
  5. Step 5: Solve for x
    x = 287,671,724,762.64/248,328.94
  6. Step 6: Final answer
    x = 1,158,430.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.