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Finding the Third Proportional to 630,273 and 849,171

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Solution

The third proportional to 630,273 and 849,171 is: 1,144,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,273 : 849,171 = 849,171 : x
  2. Step 2: Convert to fraction form
    630,273/849,171 = 849,171/x
  3. Step 3: Cross multiply
    630,273x = 849,171 × 849,171
  4. Step 4: Simplify right side
    630,273x = 721,091,387,241
  5. Step 5: Solve for x
    x = 721,091,387,241/630,273
  6. Step 6: Final answer
    x = 1,144,093.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.