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Finding the Third Proportional to 419,248 and 592,664

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Solution

The third proportional to 419,248 and 592,664 is: 837,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,248 : 592,664 = 592,664 : x
  2. Step 2: Convert to fraction form
    419,248/592,664 = 592,664/x
  3. Step 3: Cross multiply
    419,248x = 592,664 × 592,664
  4. Step 4: Simplify right side
    419,248x = 351,250,616,896
  5. Step 5: Solve for x
    x = 351,250,616,896/419,248
  6. Step 6: Final answer
    x = 837,811.07

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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.