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Finding the Third Proportional to 421,312.50 and 901,674

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Solution

The third proportional to 421,312.50 and 901,674 is: 1,929,722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,312.50 : 901,674 = 901,674 : x
  2. Step 2: Convert to fraction form
    421,312.50/901,674 = 901,674/x
  3. Step 3: Cross multiply
    421,312.50x = 901,674 × 901,674
  4. Step 4: Simplify right side
    421,312.50x = 813,016,002,276
  5. Step 5: Solve for x
    x = 813,016,002,276/421,312.50
  6. Step 6: Final answer
    x = 1,929,722.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.