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Finding the Third Proportional to 362,514 and 777,534

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Solution

The third proportional to 362,514 and 777,534 is: 1,667,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,514 : 777,534 = 777,534 : x
  2. Step 2: Convert to fraction form
    362,514/777,534 = 777,534/x
  3. Step 3: Cross multiply
    362,514x = 777,534 × 777,534
  4. Step 4: Simplify right side
    362,514x = 604,559,121,156
  5. Step 5: Solve for x
    x = 604,559,121,156/362,514
  6. Step 6: Final answer
    x = 1,667,684.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.