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Finding the Third Proportional to 466,106 and 719,765

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Solution

The third proportional to 466,106 and 719,765 is: 1,111,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,106 : 719,765 = 719,765 : x
  2. Step 2: Convert to fraction form
    466,106/719,765 = 719,765/x
  3. Step 3: Cross multiply
    466,106x = 719,765 × 719,765
  4. Step 4: Simplify right side
    466,106x = 518,061,655,225
  5. Step 5: Solve for x
    x = 518,061,655,225/466,106
  6. Step 6: Final answer
    x = 1,111,467.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.