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Finding the Third Proportional to 459,261 and 724,107

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Solution

The third proportional to 459,261 and 724,107 is: 1,141,684.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,261 : 724,107 = 724,107 : x
  2. Step 2: Convert to fraction form
    459,261/724,107 = 724,107/x
  3. Step 3: Cross multiply
    459,261x = 724,107 × 724,107
  4. Step 4: Simplify right side
    459,261x = 524,330,947,449
  5. Step 5: Solve for x
    x = 524,330,947,449/459,261
  6. Step 6: Final answer
    x = 1,141,684.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.