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Finding the Third Proportional to 450,014 and 657,250

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Solution

The third proportional to 450,014 and 657,250 is: 959,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,014 : 657,250 = 657,250 : x
  2. Step 2: Convert to fraction form
    450,014/657,250 = 657,250/x
  3. Step 3: Cross multiply
    450,014x = 657,250 × 657,250
  4. Step 4: Simplify right side
    450,014x = 431,977,562,500
  5. Step 5: Solve for x
    x = 431,977,562,500/450,014
  6. Step 6: Final answer
    x = 959,920.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.