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Finding the Third Proportional to 525,445.75 and 1,131,478.63

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Solution

The third proportional to 525,445.75 and 1,131,478.63 is: 2,436,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,445.75 : 1,131,478.63 = 1,131,478.63 : x
  2. Step 2: Convert to fraction form
    525,445.75/1,131,478.63 = 1,131,478.63/x
  3. Step 3: Cross multiply
    525,445.75x = 1,131,478.63 × 1,131,478.63
  4. Step 4: Simplify right side
    525,445.75x = 1,280,243,878,831.89
  5. Step 5: Solve for x
    x = 1,280,243,878,831.89/525,445.75
  6. Step 6: Final answer
    x = 2,436,491.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.