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Finding the Third Proportional to 595,029 and 906,495

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Solution

The third proportional to 595,029 and 906,495 is: 1,380,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,029 : 906,495 = 906,495 : x
  2. Step 2: Convert to fraction form
    595,029/906,495 = 906,495/x
  3. Step 3: Cross multiply
    595,029x = 906,495 × 906,495
  4. Step 4: Simplify right side
    595,029x = 821,733,185,025
  5. Step 5: Solve for x
    x = 821,733,185,025/595,029
  6. Step 6: Final answer
    x = 1,380,996.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.