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Finding the Third Proportional to 438,428 and 594,134

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Solution

The third proportional to 438,428 and 594,134 is: 805,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,428 : 594,134 = 594,134 : x
  2. Step 2: Convert to fraction form
    438,428/594,134 = 594,134/x
  3. Step 3: Cross multiply
    438,428x = 594,134 × 594,134
  4. Step 4: Simplify right side
    438,428x = 352,995,209,956
  5. Step 5: Solve for x
    x = 352,995,209,956/438,428
  6. Step 6: Final answer
    x = 805,138.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.