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Finding the Third Proportional to 448,465.50 and 689,305.50

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Solution

The third proportional to 448,465.50 and 689,305.50 is: 1,059,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,465.50 : 689,305.50 = 689,305.50 : x
  2. Step 2: Convert to fraction form
    448,465.50/689,305.50 = 689,305.50/x
  3. Step 3: Cross multiply
    448,465.50x = 689,305.50 × 689,305.50
  4. Step 4: Simplify right side
    448,465.50x = 475,142,072,330.25
  5. Step 5: Solve for x
    x = 475,142,072,330.25/448,465.50
  6. Step 6: Final answer
    x = 1,059,484.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.