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Finding the Third Proportional to 458,881.50 and 645,054

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Solution

The third proportional to 458,881.50 and 645,054 is: 906,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,881.50 : 645,054 = 645,054 : x
  2. Step 2: Convert to fraction form
    458,881.50/645,054 = 645,054/x
  3. Step 3: Cross multiply
    458,881.50x = 645,054 × 645,054
  4. Step 4: Simplify right side
    458,881.50x = 416,094,662,916
  5. Step 5: Solve for x
    x = 416,094,662,916/458,881.50
  6. Step 6: Final answer
    x = 906,758.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.