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Finding the Third Proportional to 341,664 and 534,428

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Solution

The third proportional to 341,664 and 534,428 is: 835,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,664 : 534,428 = 534,428 : x
  2. Step 2: Convert to fraction form
    341,664/534,428 = 534,428/x
  3. Step 3: Cross multiply
    341,664x = 534,428 × 534,428
  4. Step 4: Simplify right side
    341,664x = 285,613,287,184
  5. Step 5: Solve for x
    x = 285,613,287,184/341,664
  6. Step 6: Final answer
    x = 835,947.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.