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Finding the Third Proportional to 455,699 and 732,153

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Solution

The third proportional to 455,699 and 732,153 is: 1,176,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,699 : 732,153 = 732,153 : x
  2. Step 2: Convert to fraction form
    455,699/732,153 = 732,153/x
  3. Step 3: Cross multiply
    455,699x = 732,153 × 732,153
  4. Step 4: Simplify right side
    455,699x = 536,048,015,409
  5. Step 5: Solve for x
    x = 536,048,015,409/455,699
  6. Step 6: Final answer
    x = 1,176,320.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.