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Finding the Third Proportional to 445,637.50 and 658,627.75

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Solution

The third proportional to 445,637.50 and 658,627.75 is: 973,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,637.50 : 658,627.75 = 658,627.75 : x
  2. Step 2: Convert to fraction form
    445,637.50/658,627.75 = 658,627.75/x
  3. Step 3: Cross multiply
    445,637.50x = 658,627.75 × 658,627.75
  4. Step 4: Simplify right side
    445,637.50x = 433,790,513,070.06
  5. Step 5: Solve for x
    x = 433,790,513,070.06/445,637.50
  6. Step 6: Final answer
    x = 973,415.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.