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Finding the Third Proportional to 343,410 and 525,321

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Solution

The third proportional to 343,410 and 525,321 is: 803,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,410 : 525,321 = 525,321 : x
  2. Step 2: Convert to fraction form
    343,410/525,321 = 525,321/x
  3. Step 3: Cross multiply
    343,410x = 525,321 × 525,321
  4. Step 4: Simplify right side
    343,410x = 275,962,153,041
  5. Step 5: Solve for x
    x = 275,962,153,041/343,410
  6. Step 6: Final answer
    x = 803,593.82

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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.