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Finding the Third Proportional to 310,903 and 645,178

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Solution

The third proportional to 310,903 and 645,178 is: 1,338,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,903 : 645,178 = 645,178 : x
  2. Step 2: Convert to fraction form
    310,903/645,178 = 645,178/x
  3. Step 3: Cross multiply
    310,903x = 645,178 × 645,178
  4. Step 4: Simplify right side
    310,903x = 416,254,651,684
  5. Step 5: Solve for x
    x = 416,254,651,684/310,903
  6. Step 6: Final answer
    x = 1,338,856.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.