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Finding the Third Proportional to 473,494.50 and 637,947

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Solution

The third proportional to 473,494.50 and 637,947 is: 859,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,494.50 : 637,947 = 637,947 : x
  2. Step 2: Convert to fraction form
    473,494.50/637,947 = 637,947/x
  3. Step 3: Cross multiply
    473,494.50x = 637,947 × 637,947
  4. Step 4: Simplify right side
    473,494.50x = 406,976,374,809
  5. Step 5: Solve for x
    x = 406,976,374,809/473,494.50
  6. Step 6: Final answer
    x = 859,516.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.