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Finding the Third Proportional to 415,428 and 594,073

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Solution

The third proportional to 415,428 and 594,073 is: 849,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,428 : 594,073 = 594,073 : x
  2. Step 2: Convert to fraction form
    415,428/594,073 = 594,073/x
  3. Step 3: Cross multiply
    415,428x = 594,073 × 594,073
  4. Step 4: Simplify right side
    415,428x = 352,922,729,329
  5. Step 5: Solve for x
    x = 352,922,729,329/415,428
  6. Step 6: Final answer
    x = 849,540.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.