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Finding the Third Proportional to 575,713.50 and 903,012

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Solution

The third proportional to 575,713.50 and 903,012 is: 1,416,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,713.50 : 903,012 = 903,012 : x
  2. Step 2: Convert to fraction form
    575,713.50/903,012 = 903,012/x
  3. Step 3: Cross multiply
    575,713.50x = 903,012 × 903,012
  4. Step 4: Simplify right side
    575,713.50x = 815,430,672,144
  5. Step 5: Solve for x
    x = 815,430,672,144/575,713.50
  6. Step 6: Final answer
    x = 1,416,382.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.