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Finding the Third Proportional to 343,852 and 525,658

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Solution

The third proportional to 343,852 and 525,658 is: 803,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,852 : 525,658 = 525,658 : x
  2. Step 2: Convert to fraction form
    343,852/525,658 = 525,658/x
  3. Step 3: Cross multiply
    343,852x = 525,658 × 525,658
  4. Step 4: Simplify right side
    343,852x = 276,316,332,964
  5. Step 5: Solve for x
    x = 276,316,332,964/343,852
  6. Step 6: Final answer
    x = 803,590.88

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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.