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Finding the Third Proportional to 301,532 and 409,506

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Solution

The third proportional to 301,532 and 409,506 is: 556,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,532 : 409,506 = 409,506 : x
  2. Step 2: Convert to fraction form
    301,532/409,506 = 409,506/x
  3. Step 3: Cross multiply
    301,532x = 409,506 × 409,506
  4. Step 4: Simplify right side
    301,532x = 167,695,164,036
  5. Step 5: Solve for x
    x = 167,695,164,036/301,532
  6. Step 6: Final answer
    x = 556,143.84

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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.