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Finding the Third Proportional to 570,021 and 801,724

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Solution

The third proportional to 570,021 and 801,724 is: 1,127,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,021 : 801,724 = 801,724 : x
  2. Step 2: Convert to fraction form
    570,021/801,724 = 801,724/x
  3. Step 3: Cross multiply
    570,021x = 801,724 × 801,724
  4. Step 4: Simplify right side
    570,021x = 642,761,372,176
  5. Step 5: Solve for x
    x = 642,761,372,176/570,021
  6. Step 6: Final answer
    x = 1,127,609.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.