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Finding the Third Proportional to 419,236 and 592,646

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Solution

The third proportional to 419,236 and 592,646 is: 837,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,236 : 592,646 = 592,646 : x
  2. Step 2: Convert to fraction form
    419,236/592,646 = 592,646/x
  3. Step 3: Cross multiply
    419,236x = 592,646 × 592,646
  4. Step 4: Simplify right side
    419,236x = 351,229,281,316
  5. Step 5: Solve for x
    x = 351,229,281,316/419,236
  6. Step 6: Final answer
    x = 837,784.16

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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.