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Finding the Third Proportional to 503,323.88 and 762,316.31

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Solution

The third proportional to 503,323.88 and 762,316.31 is: 1,154,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,323.88 : 762,316.31 = 762,316.31 : x
  2. Step 2: Convert to fraction form
    503,323.88/762,316.31 = 762,316.31/x
  3. Step 3: Cross multiply
    503,323.88x = 762,316.31 × 762,316.31
  4. Step 4: Simplify right side
    503,323.88x = 581,126,160,303.60
  5. Step 5: Solve for x
    x = 581,126,160,303.60/503,323.88
  6. Step 6: Final answer
    x = 1,154,576.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.