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Finding the Third Proportional to 456,174 and 657,102

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Solution

The third proportional to 456,174 and 657,102 is: 946,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,174 : 657,102 = 657,102 : x
  2. Step 2: Convert to fraction form
    456,174/657,102 = 657,102/x
  3. Step 3: Cross multiply
    456,174x = 657,102 × 657,102
  4. Step 4: Simplify right side
    456,174x = 431,783,038,404
  5. Step 5: Solve for x
    x = 431,783,038,404/456,174
  6. Step 6: Final answer
    x = 946,531.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.