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Finding the Third Proportional to 575,717 and 903,018

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Solution

The third proportional to 575,717 and 903,018 is: 1,416,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,717 : 903,018 = 903,018 : x
  2. Step 2: Convert to fraction form
    575,717/903,018 = 903,018/x
  3. Step 3: Cross multiply
    575,717x = 903,018 × 903,018
  4. Step 4: Simplify right side
    575,717x = 815,441,508,324
  5. Step 5: Solve for x
    x = 815,441,508,324/575,717
  6. Step 6: Final answer
    x = 1,416,392.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.