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Finding the Third Proportional to 322,114 and 473,699

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Solution

The third proportional to 322,114 and 473,699 is: 696,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,114 : 473,699 = 473,699 : x
  2. Step 2: Convert to fraction form
    322,114/473,699 = 473,699/x
  3. Step 3: Cross multiply
    322,114x = 473,699 × 473,699
  4. Step 4: Simplify right side
    322,114x = 224,390,742,601
  5. Step 5: Solve for x
    x = 224,390,742,601/322,114
  6. Step 6: Final answer
    x = 696,619.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.