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Finding the Third Proportional to 497,436.75 and 1,065,847.50

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Solution

The third proportional to 497,436.75 and 1,065,847.50 is: 2,283,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,436.75 : 1,065,847.50 = 1,065,847.50 : x
  2. Step 2: Convert to fraction form
    497,436.75/1,065,847.50 = 1,065,847.50/x
  3. Step 3: Cross multiply
    497,436.75x = 1,065,847.50 × 1,065,847.50
  4. Step 4: Simplify right side
    497,436.75x = 1,136,030,893,256.25
  5. Step 5: Solve for x
    x = 1,136,030,893,256.25/497,436.75
  6. Step 6: Final answer
    x = 2,283,769.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.