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Finding the Third Proportional to 384,756.75 and 834,718.50

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Solution

The third proportional to 384,756.75 and 834,718.50 is: 1,810,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,756.75 : 834,718.50 = 834,718.50 : x
  2. Step 2: Convert to fraction form
    384,756.75/834,718.50 = 834,718.50/x
  3. Step 3: Cross multiply
    384,756.75x = 834,718.50 × 834,718.50
  4. Step 4: Simplify right side
    384,756.75x = 696,754,974,242.25
  5. Step 5: Solve for x
    x = 696,754,974,242.25/384,756.75
  6. Step 6: Final answer
    x = 1,810,897.34

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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.