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Finding the Third Proportional to 421,237.50 and 913,971

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Solution

The third proportional to 421,237.50 and 913,971 is: 1,983,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,237.50 : 913,971 = 913,971 : x
  2. Step 2: Convert to fraction form
    421,237.50/913,971 = 913,971/x
  3. Step 3: Cross multiply
    421,237.50x = 913,971 × 913,971
  4. Step 4: Simplify right side
    421,237.50x = 835,342,988,841
  5. Step 5: Solve for x
    x = 835,342,988,841/421,237.50
  6. Step 6: Final answer
    x = 1,983,068.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.