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Finding the Third Proportional to 475,148 and 958,072

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Solution

The third proportional to 475,148 and 958,072 is: 1,931,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,148 : 958,072 = 958,072 : x
  2. Step 2: Convert to fraction form
    475,148/958,072 = 958,072/x
  3. Step 3: Cross multiply
    475,148x = 958,072 × 958,072
  4. Step 4: Simplify right side
    475,148x = 917,901,957,184
  5. Step 5: Solve for x
    x = 917,901,957,184/475,148
  6. Step 6: Final answer
    x = 1,931,823.26

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.