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Finding the Third Proportional to 473,296.50 and 1,038,447

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Solution

The third proportional to 473,296.50 and 1,038,447 is: 2,278,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,296.50 : 1,038,447 = 1,038,447 : x
  2. Step 2: Convert to fraction form
    473,296.50/1,038,447 = 1,038,447/x
  3. Step 3: Cross multiply
    473,296.50x = 1,038,447 × 1,038,447
  4. Step 4: Simplify right side
    473,296.50x = 1,078,372,171,809
  5. Step 5: Solve for x
    x = 1,078,372,171,809/473,296.50
  6. Step 6: Final answer
    x = 2,278,428.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.