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Finding the Third Proportional to 458,274.63 and 693,308.88

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Solution

The third proportional to 458,274.63 and 693,308.88 is: 1,048,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,274.63 : 693,308.88 = 693,308.88 : x
  2. Step 2: Convert to fraction form
    458,274.63/693,308.88 = 693,308.88/x
  3. Step 3: Cross multiply
    458,274.63x = 693,308.88 × 693,308.88
  4. Step 4: Simplify right side
    458,274.63x = 480,677,196,153.77
  5. Step 5: Solve for x
    x = 480,677,196,153.77/458,274.63
  6. Step 6: Final answer
    x = 1,048,884.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.