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Finding the Third Proportional to 442,139.50 and 947,315

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Solution

The third proportional to 442,139.50 and 947,315 is: 2,029,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,139.50 : 947,315 = 947,315 : x
  2. Step 2: Convert to fraction form
    442,139.50/947,315 = 947,315/x
  3. Step 3: Cross multiply
    442,139.50x = 947,315 × 947,315
  4. Step 4: Simplify right side
    442,139.50x = 897,405,709,225
  5. Step 5: Solve for x
    x = 897,405,709,225/442,139.50
  6. Step 6: Final answer
    x = 2,029,689.07

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Why These Related Problems?

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