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Finding the Third Proportional to 535,259.50 and 819,842.50

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Solution

The third proportional to 535,259.50 and 819,842.50 is: 1,255,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,259.50 : 819,842.50 = 819,842.50 : x
  2. Step 2: Convert to fraction form
    535,259.50/819,842.50 = 819,842.50/x
  3. Step 3: Cross multiply
    535,259.50x = 819,842.50 × 819,842.50
  4. Step 4: Simplify right side
    535,259.50x = 672,141,724,806.25
  5. Step 5: Solve for x
    x = 672,141,724,806.25/535,259.50
  6. Step 6: Final answer
    x = 1,255,730.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.