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Finding the Third Proportional to 263,253 and 385,006.50

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Solution

The third proportional to 263,253 and 385,006.50 is: 563,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,253 : 385,006.50 = 385,006.50 : x
  2. Step 2: Convert to fraction form
    263,253/385,006.50 = 385,006.50/x
  3. Step 3: Cross multiply
    263,253x = 385,006.50 × 385,006.50
  4. Step 4: Simplify right side
    263,253x = 148,230,005,042.25
  5. Step 5: Solve for x
    x = 148,230,005,042.25/263,253
  6. Step 6: Final answer
    x = 563,070.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.