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Finding the Third Proportional to 429,964 and 601,366

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Solution

The third proportional to 429,964 and 601,366 is: 841,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,964 : 601,366 = 601,366 : x
  2. Step 2: Convert to fraction form
    429,964/601,366 = 601,366/x
  3. Step 3: Cross multiply
    429,964x = 601,366 × 601,366
  4. Step 4: Simplify right side
    429,964x = 361,641,065,956
  5. Step 5: Solve for x
    x = 361,641,065,956/429,964
  6. Step 6: Final answer
    x = 841,096.15

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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.