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Finding the Third Proportional to 595,769 and 833,389

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Solution

The third proportional to 595,769 and 833,389 is: 1,165,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,769 : 833,389 = 833,389 : x
  2. Step 2: Convert to fraction form
    595,769/833,389 = 833,389/x
  3. Step 3: Cross multiply
    595,769x = 833,389 × 833,389
  4. Step 4: Simplify right side
    595,769x = 694,537,225,321
  5. Step 5: Solve for x
    x = 694,537,225,321/595,769
  6. Step 6: Final answer
    x = 1,165,782.75

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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.