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Finding the Third Proportional to 343,854 and 525,661

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Solution

The third proportional to 343,854 and 525,661 is: 803,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,854 : 525,661 = 525,661 : x
  2. Step 2: Convert to fraction form
    343,854/525,661 = 525,661/x
  3. Step 3: Cross multiply
    343,854x = 525,661 × 525,661
  4. Step 4: Simplify right side
    343,854x = 276,319,486,921
  5. Step 5: Solve for x
    x = 276,319,486,921/343,854
  6. Step 6: Final answer
    x = 803,595.38

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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.