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Finding the Third Proportional to 263,541 and 577,869.50

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Solution

The third proportional to 263,541 and 577,869.50 is: 1,267,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,541 : 577,869.50 = 577,869.50 : x
  2. Step 2: Convert to fraction form
    263,541/577,869.50 = 577,869.50/x
  3. Step 3: Cross multiply
    263,541x = 577,869.50 × 577,869.50
  4. Step 4: Simplify right side
    263,541x = 333,933,159,030.25
  5. Step 5: Solve for x
    x = 333,933,159,030.25/263,541
  6. Step 6: Final answer
    x = 1,267,101.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.