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Finding the Third Proportional to 421,337.50 and 921,501

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Solution

The third proportional to 421,337.50 and 921,501 is: 2,015,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,337.50 : 921,501 = 921,501 : x
  2. Step 2: Convert to fraction form
    421,337.50/921,501 = 921,501/x
  3. Step 3: Cross multiply
    421,337.50x = 921,501 × 921,501
  4. Step 4: Simplify right side
    421,337.50x = 849,164,093,001
  5. Step 5: Solve for x
    x = 849,164,093,001/421,337.50
  6. Step 6: Final answer
    x = 2,015,401.18

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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.