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Finding the Third Proportional to 450,016 and 657,253

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Solution

The third proportional to 450,016 and 657,253 is: 959,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,016 : 657,253 = 657,253 : x
  2. Step 2: Convert to fraction form
    450,016/657,253 = 657,253/x
  3. Step 3: Cross multiply
    450,016x = 657,253 × 657,253
  4. Step 4: Simplify right side
    450,016x = 431,981,506,009
  5. Step 5: Solve for x
    x = 431,981,506,009/450,016
  6. Step 6: Final answer
    x = 959,924.77

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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.