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Finding the Third Proportional to 450,027 and 657,270

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Solution

The third proportional to 450,027 and 657,270 is: 959,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,027 : 657,270 = 657,270 : x
  2. Step 2: Convert to fraction form
    450,027/657,270 = 657,270/x
  3. Step 3: Cross multiply
    450,027x = 657,270 × 657,270
  4. Step 4: Simplify right side
    450,027x = 432,003,852,900
  5. Step 5: Solve for x
    x = 432,003,852,900/450,027
  6. Step 6: Final answer
    x = 959,950.96

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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.