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Finding the Third Proportional to 506,414 and 801,903

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Solution

The third proportional to 506,414 and 801,903 is: 1,269,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,414 : 801,903 = 801,903 : x
  2. Step 2: Convert to fraction form
    506,414/801,903 = 801,903/x
  3. Step 3: Cross multiply
    506,414x = 801,903 × 801,903
  4. Step 4: Simplify right side
    506,414x = 643,048,421,409
  5. Step 5: Solve for x
    x = 643,048,421,409/506,414
  6. Step 6: Final answer
    x = 1,269,807.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.