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Finding the Third Proportional to 343,428 and 525,339

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Solution

The third proportional to 343,428 and 525,339 is: 803,606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,428 : 525,339 = 525,339 : x
  2. Step 2: Convert to fraction form
    343,428/525,339 = 525,339/x
  3. Step 3: Cross multiply
    343,428x = 525,339 × 525,339
  4. Step 4: Simplify right side
    343,428x = 275,981,064,921
  5. Step 5: Solve for x
    x = 275,981,064,921/343,428
  6. Step 6: Final answer
    x = 803,606.77

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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.