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Finding the Third Proportional to 290,870 and 634,300

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Solution

The third proportional to 290,870 and 634,300 is: 1,383,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,870 : 634,300 = 634,300 : x
  2. Step 2: Convert to fraction form
    290,870/634,300 = 634,300/x
  3. Step 3: Cross multiply
    290,870x = 634,300 × 634,300
  4. Step 4: Simplify right side
    290,870x = 402,336,490,000
  5. Step 5: Solve for x
    x = 402,336,490,000/290,870
  6. Step 6: Final answer
    x = 1,383,217.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.