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Finding the Third Proportional to 453,032 and 613,114

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Solution

The third proportional to 453,032 and 613,114 is: 829,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,032 : 613,114 = 613,114 : x
  2. Step 2: Convert to fraction form
    453,032/613,114 = 613,114/x
  3. Step 3: Cross multiply
    453,032x = 613,114 × 613,114
  4. Step 4: Simplify right side
    453,032x = 375,908,776,996
  5. Step 5: Solve for x
    x = 375,908,776,996/453,032
  6. Step 6: Final answer
    x = 829,762.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.