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Finding the Third Proportional to 455,603 and 724,094

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Solution

The third proportional to 455,603 and 724,094 is: 1,150,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,603 : 724,094 = 724,094 : x
  2. Step 2: Convert to fraction form
    455,603/724,094 = 724,094/x
  3. Step 3: Cross multiply
    455,603x = 724,094 × 724,094
  4. Step 4: Simplify right side
    455,603x = 524,312,120,836
  5. Step 5: Solve for x
    x = 524,312,120,836/455,603
  6. Step 6: Final answer
    x = 1,150,809.19

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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.