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Finding the Third Proportional to 567,463 and 843,154

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Solution

The third proportional to 567,463 and 843,154 is: 1,252,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,463 : 843,154 = 843,154 : x
  2. Step 2: Convert to fraction form
    567,463/843,154 = 843,154/x
  3. Step 3: Cross multiply
    567,463x = 843,154 × 843,154
  4. Step 4: Simplify right side
    567,463x = 710,908,667,716
  5. Step 5: Solve for x
    x = 710,908,667,716/567,463
  6. Step 6: Final answer
    x = 1,252,784.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.