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Finding the Third Proportional to 355,340 and 469,506

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Solution

The third proportional to 355,340 and 469,506 is: 620,352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,340 : 469,506 = 469,506 : x
  2. Step 2: Convert to fraction form
    355,340/469,506 = 469,506/x
  3. Step 3: Cross multiply
    355,340x = 469,506 × 469,506
  4. Step 4: Simplify right side
    355,340x = 220,435,884,036
  5. Step 5: Solve for x
    x = 220,435,884,036/355,340
  6. Step 6: Final answer
    x = 620,352.01

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.