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Finding the Third Proportional to 430,049.25 and 601,495.88

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Solution

The third proportional to 430,049.25 and 601,495.88 is: 841,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,049.25 : 601,495.88 = 601,495.88 : x
  2. Step 2: Convert to fraction form
    430,049.25/601,495.88 = 601,495.88/x
  3. Step 3: Cross multiply
    430,049.25x = 601,495.88 × 601,495.88
  4. Step 4: Simplify right side
    430,049.25x = 361,797,287,642.02
  5. Step 5: Solve for x
    x = 361,797,287,642.02/430,049.25
  6. Step 6: Final answer
    x = 841,292.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.