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Finding the Third Proportional to 283,522 and 456,818

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Solution

The third proportional to 283,522 and 456,818 is: 736,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,522 : 456,818 = 456,818 : x
  2. Step 2: Convert to fraction form
    283,522/456,818 = 456,818/x
  3. Step 3: Cross multiply
    283,522x = 456,818 × 456,818
  4. Step 4: Simplify right side
    283,522x = 208,682,685,124
  5. Step 5: Solve for x
    x = 208,682,685,124/283,522
  6. Step 6: Final answer
    x = 736,037.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.