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Finding the Third Proportional to 295,456 and 432,698

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Solution

The third proportional to 295,456 and 432,698 is: 633,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,456 : 432,698 = 432,698 : x
  2. Step 2: Convert to fraction form
    295,456/432,698 = 432,698/x
  3. Step 3: Cross multiply
    295,456x = 432,698 × 432,698
  4. Step 4: Simplify right side
    295,456x = 187,227,559,204
  5. Step 5: Solve for x
    x = 187,227,559,204/295,456
  6. Step 6: Final answer
    x = 633,690.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.