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Finding the Third Proportional to 453,487.50 and 686,094.75

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Solution

The third proportional to 453,487.50 and 686,094.75 is: 1,038,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,487.50 : 686,094.75 = 686,094.75 : x
  2. Step 2: Convert to fraction form
    453,487.50/686,094.75 = 686,094.75/x
  3. Step 3: Cross multiply
    453,487.50x = 686,094.75 × 686,094.75
  4. Step 4: Simplify right side
    453,487.50x = 470,726,005,977.56
  5. Step 5: Solve for x
    x = 470,726,005,977.56/453,487.50
  6. Step 6: Final answer
    x = 1,038,013.19

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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.