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Finding the Third Proportional to 458,964 and 645,178.50

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Solution

The third proportional to 458,964 and 645,178.50 is: 906,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,964 : 645,178.50 = 645,178.50 : x
  2. Step 2: Convert to fraction form
    458,964/645,178.50 = 645,178.50/x
  3. Step 3: Cross multiply
    458,964x = 645,178.50 × 645,178.50
  4. Step 4: Simplify right side
    458,964x = 416,255,296,862.25
  5. Step 5: Solve for x
    x = 416,255,296,862.25/458,964
  6. Step 6: Final answer
    x = 906,945.42

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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.