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Finding the Third Proportional to 423,396 and 601,830

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Solution

The third proportional to 423,396 and 601,830 is: 855,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,396 : 601,830 = 601,830 : x
  2. Step 2: Convert to fraction form
    423,396/601,830 = 601,830/x
  3. Step 3: Cross multiply
    423,396x = 601,830 × 601,830
  4. Step 4: Simplify right side
    423,396x = 362,199,348,900
  5. Step 5: Solve for x
    x = 362,199,348,900/423,396
  6. Step 6: Final answer
    x = 855,462.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.