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Finding the Third Proportional to 453,538.50 and 686,173.50

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Solution

The third proportional to 453,538.50 and 686,173.50 is: 1,038,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,538.50 : 686,173.50 = 686,173.50 : x
  2. Step 2: Convert to fraction form
    453,538.50/686,173.50 = 686,173.50/x
  3. Step 3: Cross multiply
    453,538.50x = 686,173.50 × 686,173.50
  4. Step 4: Simplify right side
    453,538.50x = 470,834,072,102.25
  5. Step 5: Solve for x
    x = 470,834,072,102.25/453,538.50
  6. Step 6: Final answer
    x = 1,038,134.74

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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.