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Finding the Third Proportional to 412,924 and 634,888

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Solution

The third proportional to 412,924 and 634,888 is: 976,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,924 : 634,888 = 634,888 : x
  2. Step 2: Convert to fraction form
    412,924/634,888 = 634,888/x
  3. Step 3: Cross multiply
    412,924x = 634,888 × 634,888
  4. Step 4: Simplify right side
    412,924x = 403,082,772,544
  5. Step 5: Solve for x
    x = 403,082,772,544/412,924
  6. Step 6: Final answer
    x = 976,166.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.