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Finding the Third Proportional to 362,265 and 794,514

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Solution

The third proportional to 362,265 and 794,514 is: 1,742,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,265 : 794,514 = 794,514 : x
  2. Step 2: Convert to fraction form
    362,265/794,514 = 794,514/x
  3. Step 3: Cross multiply
    362,265x = 794,514 × 794,514
  4. Step 4: Simplify right side
    362,265x = 631,252,496,196
  5. Step 5: Solve for x
    x = 631,252,496,196/362,265
  6. Step 6: Final answer
    x = 1,742,515.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.