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Finding the Third Proportional to 290,550 and 435,810

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Solution

The third proportional to 290,550 and 435,810 is: 653,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,550 : 435,810 = 435,810 : x
  2. Step 2: Convert to fraction form
    290,550/435,810 = 435,810/x
  3. Step 3: Cross multiply
    290,550x = 435,810 × 435,810
  4. Step 4: Simplify right side
    290,550x = 189,930,356,100
  5. Step 5: Solve for x
    x = 189,930,356,100/290,550
  6. Step 6: Final answer
    x = 653,692.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.