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Finding the Third Proportional to 290,391 and 435,588

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Solution

The third proportional to 290,391 and 435,588 is: 653,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,391 : 435,588 = 435,588 : x
  2. Step 2: Convert to fraction form
    290,391/435,588 = 435,588/x
  3. Step 3: Cross multiply
    290,391x = 435,588 × 435,588
  4. Step 4: Simplify right side
    290,391x = 189,736,905,744
  5. Step 5: Solve for x
    x = 189,736,905,744/290,391
  6. Step 6: Final answer
    x = 653,384.25

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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.