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Finding the Third Proportional to 762,070.50 and 1,704,573

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Solution

The third proportional to 762,070.50 and 1,704,573 is: 3,812,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,070.50 : 1,704,573 = 1,704,573 : x
  2. Step 2: Convert to fraction form
    762,070.50/1,704,573 = 1,704,573/x
  3. Step 3: Cross multiply
    762,070.50x = 1,704,573 × 1,704,573
  4. Step 4: Simplify right side
    762,070.50x = 2,905,569,112,329
  5. Step 5: Solve for x
    x = 2,905,569,112,329/762,070.50
  6. Step 6: Final answer
    x = 3,812,730.07

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.