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Finding the Third Proportional to 430,086 and 601,536

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Solution

The third proportional to 430,086 and 601,536 is: 841,333.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,086 : 601,536 = 601,536 : x
  2. Step 2: Convert to fraction form
    430,086/601,536 = 601,536/x
  3. Step 3: Cross multiply
    430,086x = 601,536 × 601,536
  4. Step 4: Simplify right side
    430,086x = 361,845,559,296
  5. Step 5: Solve for x
    x = 361,845,559,296/430,086
  6. Step 6: Final answer
    x = 841,333.03

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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.