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Finding the Third Proportional to 448,818.75 and 907,751.25

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Solution

The third proportional to 448,818.75 and 907,751.25 is: 1,835,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,818.75 : 907,751.25 = 907,751.25 : x
  2. Step 2: Convert to fraction form
    448,818.75/907,751.25 = 907,751.25/x
  3. Step 3: Cross multiply
    448,818.75x = 907,751.25 × 907,751.25
  4. Step 4: Simplify right side
    448,818.75x = 824,012,331,876.56
  5. Step 5: Solve for x
    x = 824,012,331,876.56/448,818.75
  6. Step 6: Final answer
    x = 1,835,957.90

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.