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Finding the Third Proportional to 186,033 and 407,537

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Solution

The third proportional to 186,033 and 407,537 is: 892,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,033 : 407,537 = 407,537 : x
  2. Step 2: Convert to fraction form
    186,033/407,537 = 407,537/x
  3. Step 3: Cross multiply
    186,033x = 407,537 × 407,537
  4. Step 4: Simplify right side
    186,033x = 166,086,406,369
  5. Step 5: Solve for x
    x = 166,086,406,369/186,033
  6. Step 6: Final answer
    x = 892,779.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.