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Finding the Third Proportional to 348,841.13 and 473,427

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Solution

The third proportional to 348,841.13 and 473,427 is: 642,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,841.13 : 473,427 = 473,427 : x
  2. Step 2: Convert to fraction form
    348,841.13/473,427 = 473,427/x
  3. Step 3: Cross multiply
    348,841.13x = 473,427 × 473,427
  4. Step 4: Simplify right side
    348,841.13x = 224,133,124,329
  5. Step 5: Solve for x
    x = 224,133,124,329/348,841.13
  6. Step 6: Final answer
    x = 642,507.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.