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Finding the Third Proportional to 673,512.75 and 1,017,265.50

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Solution

The third proportional to 673,512.75 and 1,017,265.50 is: 1,536,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,512.75 : 1,017,265.50 = 1,017,265.50 : x
  2. Step 2: Convert to fraction form
    673,512.75/1,017,265.50 = 1,017,265.50/x
  3. Step 3: Cross multiply
    673,512.75x = 1,017,265.50 × 1,017,265.50
  4. Step 4: Simplify right side
    673,512.75x = 1,034,829,097,490.25
  5. Step 5: Solve for x
    x = 1,034,829,097,490.25/673,512.75
  6. Step 6: Final answer
    x = 1,536,465.49

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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.