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Finding the Third Proportional to 452,185 and 719,789

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Solution

The third proportional to 452,185 and 719,789 is: 1,145,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,185 : 719,789 = 719,789 : x
  2. Step 2: Convert to fraction form
    452,185/719,789 = 719,789/x
  3. Step 3: Cross multiply
    452,185x = 719,789 × 719,789
  4. Step 4: Simplify right side
    452,185x = 518,096,204,521
  5. Step 5: Solve for x
    x = 518,096,204,521/452,185
  6. Step 6: Final answer
    x = 1,145,761.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.