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Finding the Third Proportional to 263,926.50 and 575,487

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Solution

The third proportional to 263,926.50 and 575,487 is: 1,254,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,926.50 : 575,487 = 575,487 : x
  2. Step 2: Convert to fraction form
    263,926.50/575,487 = 575,487/x
  3. Step 3: Cross multiply
    263,926.50x = 575,487 × 575,487
  4. Step 4: Simplify right side
    263,926.50x = 331,185,287,169
  5. Step 5: Solve for x
    x = 331,185,287,169/263,926.50
  6. Step 6: Final answer
    x = 1,254,839.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.