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Finding the Third Proportional to 447,055.50 and 958,030.50

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Solution

The third proportional to 447,055.50 and 958,030.50 is: 2,053,039.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,055.50 : 958,030.50 = 958,030.50 : x
  2. Step 2: Convert to fraction form
    447,055.50/958,030.50 = 958,030.50/x
  3. Step 3: Cross multiply
    447,055.50x = 958,030.50 × 958,030.50
  4. Step 4: Simplify right side
    447,055.50x = 917,822,438,930.25
  5. Step 5: Solve for x
    x = 917,822,438,930.25/447,055.50
  6. Step 6: Final answer
    x = 2,053,039.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.