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Finding the Third Proportional to 402,283 and 554,148.50

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Solution

The third proportional to 402,283 and 554,148.50 is: 763,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,283 : 554,148.50 = 554,148.50 : x
  2. Step 2: Convert to fraction form
    402,283/554,148.50 = 554,148.50/x
  3. Step 3: Cross multiply
    402,283x = 554,148.50 × 554,148.50
  4. Step 4: Simplify right side
    402,283x = 307,080,560,052.25
  5. Step 5: Solve for x
    x = 307,080,560,052.25/402,283
  6. Step 6: Final answer
    x = 763,344.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.