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Finding the Third Proportional to 430,078 and 601,524

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Solution

The third proportional to 430,078 and 601,524 is: 841,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,078 : 601,524 = 601,524 : x
  2. Step 2: Convert to fraction form
    430,078/601,524 = 601,524/x
  3. Step 3: Cross multiply
    430,078x = 601,524 × 601,524
  4. Step 4: Simplify right side
    430,078x = 361,831,122,576
  5. Step 5: Solve for x
    x = 361,831,122,576/430,078
  6. Step 6: Final answer
    x = 841,315.12

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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.