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Finding the Third Proportional to 455,604 and 724,095

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Solution

The third proportional to 455,604 and 724,095 is: 1,150,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,604 : 724,095 = 724,095 : x
  2. Step 2: Convert to fraction form
    455,604/724,095 = 724,095/x
  3. Step 3: Cross multiply
    455,604x = 724,095 × 724,095
  4. Step 4: Simplify right side
    455,604x = 524,313,569,025
  5. Step 5: Solve for x
    x = 524,313,569,025/455,604
  6. Step 6: Final answer
    x = 1,150,809.85

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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.