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Finding the Third Proportional to 409,416 and 602,416

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Solution

The third proportional to 409,416 and 602,416 is: 886,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,416 : 602,416 = 602,416 : x
  2. Step 2: Convert to fraction form
    409,416/602,416 = 602,416/x
  3. Step 3: Cross multiply
    409,416x = 602,416 × 602,416
  4. Step 4: Simplify right side
    409,416x = 362,905,037,056
  5. Step 5: Solve for x
    x = 362,905,037,056/409,416
  6. Step 6: Final answer
    x = 886,396.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.