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Finding the Third Proportional to 262,483.03 and 385,114.50

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Solution

The third proportional to 262,483.03 and 385,114.50 is: 565,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,483.03 : 385,114.50 = 385,114.50 : x
  2. Step 2: Convert to fraction form
    262,483.03/385,114.50 = 385,114.50/x
  3. Step 3: Cross multiply
    262,483.03x = 385,114.50 × 385,114.50
  4. Step 4: Simplify right side
    262,483.03x = 148,313,178,110.25
  5. Step 5: Solve for x
    x = 148,313,178,110.25/262,483.03
  6. Step 6: Final answer
    x = 565,039.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.