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Finding the Third Proportional to 595,872 and 833,508

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Solution

The third proportional to 595,872 and 833,508 is: 1,165,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,872 : 833,508 = 833,508 : x
  2. Step 2: Convert to fraction form
    595,872/833,508 = 833,508/x
  3. Step 3: Cross multiply
    595,872x = 833,508 × 833,508
  4. Step 4: Simplify right side
    595,872x = 694,735,586,064
  5. Step 5: Solve for x
    x = 694,735,586,064/595,872
  6. Step 6: Final answer
    x = 1,165,914.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.