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Finding the Third Proportional to 461,606 and 730,318

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Solution

The third proportional to 461,606 and 730,318 is: 1,155,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,606 : 730,318 = 730,318 : x
  2. Step 2: Convert to fraction form
    461,606/730,318 = 730,318/x
  3. Step 3: Cross multiply
    461,606x = 730,318 × 730,318
  4. Step 4: Simplify right side
    461,606x = 533,364,381,124
  5. Step 5: Solve for x
    x = 533,364,381,124/461,606
  6. Step 6: Final answer
    x = 1,155,453.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.