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Finding the Third Proportional to 565,998.75 and 841,295.25

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Solution

The third proportional to 565,998.75 and 841,295.25 is: 1,250,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,998.75 : 841,295.25 = 841,295.25 : x
  2. Step 2: Convert to fraction form
    565,998.75/841,295.25 = 841,295.25/x
  3. Step 3: Cross multiply
    565,998.75x = 841,295.25 × 841,295.25
  4. Step 4: Simplify right side
    565,998.75x = 707,777,697,672.56
  5. Step 5: Solve for x
    x = 707,777,697,672.56/565,998.75
  6. Step 6: Final answer
    x = 1,250,493.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.