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Finding the Third Proportional to 352,421 and 567,451.50

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Solution

The third proportional to 352,421 and 567,451.50 is: 913,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,421 : 567,451.50 = 567,451.50 : x
  2. Step 2: Convert to fraction form
    352,421/567,451.50 = 567,451.50/x
  3. Step 3: Cross multiply
    352,421x = 567,451.50 × 567,451.50
  4. Step 4: Simplify right side
    352,421x = 322,001,204,852.25
  5. Step 5: Solve for x
    x = 322,001,204,852.25/352,421
  6. Step 6: Final answer
    x = 913,683.36

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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.