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Finding the Third Proportional to 371,563 and 569,337

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Solution

The third proportional to 371,563 and 569,337 is: 872,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,563 : 569,337 = 569,337 : x
  2. Step 2: Convert to fraction form
    371,563/569,337 = 569,337/x
  3. Step 3: Cross multiply
    371,563x = 569,337 × 569,337
  4. Step 4: Simplify right side
    371,563x = 324,144,619,569
  5. Step 5: Solve for x
    x = 324,144,619,569/371,563
  6. Step 6: Final answer
    x = 872,381.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.