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Finding the Third Proportional to 343,807 and 525,592

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Solution

The third proportional to 343,807 and 525,592 is: 803,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,807 : 525,592 = 525,592 : x
  2. Step 2: Convert to fraction form
    343,807/525,592 = 525,592/x
  3. Step 3: Cross multiply
    343,807x = 525,592 × 525,592
  4. Step 4: Simplify right side
    343,807x = 276,246,950,464
  5. Step 5: Solve for x
    x = 276,246,950,464/343,807
  6. Step 6: Final answer
    x = 803,494.26

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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.