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Finding the Third Proportional to 475,614 and 652,185

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Solution

The third proportional to 475,614 and 652,185 is: 894,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,614 : 652,185 = 652,185 : x
  2. Step 2: Convert to fraction form
    475,614/652,185 = 652,185/x
  3. Step 3: Cross multiply
    475,614x = 652,185 × 652,185
  4. Step 4: Simplify right side
    475,614x = 425,345,274,225
  5. Step 5: Solve for x
    x = 425,345,274,225/475,614
  6. Step 6: Final answer
    x = 894,307.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.