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Finding the Third Proportional to 458,966.25 and 999,587.25

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Solution

The third proportional to 458,966.25 and 999,587.25 is: 2,177,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,966.25 : 999,587.25 = 999,587.25 : x
  2. Step 2: Convert to fraction form
    458,966.25/999,587.25 = 999,587.25/x
  3. Step 3: Cross multiply
    458,966.25x = 999,587.25 × 999,587.25
  4. Step 4: Simplify right side
    458,966.25x = 999,174,670,362.56
  5. Step 5: Solve for x
    x = 999,174,670,362.56/458,966.25
  6. Step 6: Final answer
    x = 2,177,011.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.