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Finding the Third Proportional to 301,418 and 410,482

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Solution

The third proportional to 301,418 and 410,482 is: 559,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,418 : 410,482 = 410,482 : x
  2. Step 2: Convert to fraction form
    301,418/410,482 = 410,482/x
  3. Step 3: Cross multiply
    301,418x = 410,482 × 410,482
  4. Step 4: Simplify right side
    301,418x = 168,495,472,324
  5. Step 5: Solve for x
    x = 168,495,472,324/301,418
  6. Step 6: Final answer
    x = 559,009.32

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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.