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Finding the Third Proportional to 572,966.25 and 1,214,233.50

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Solution

The third proportional to 572,966.25 and 1,214,233.50 is: 2,573,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,966.25 : 1,214,233.50 = 1,214,233.50 : x
  2. Step 2: Convert to fraction form
    572,966.25/1,214,233.50 = 1,214,233.50/x
  3. Step 3: Cross multiply
    572,966.25x = 1,214,233.50 × 1,214,233.50
  4. Step 4: Simplify right side
    572,966.25x = 1,474,362,992,522.25
  5. Step 5: Solve for x
    x = 1,474,362,992,522.25/572,966.25
  6. Step 6: Final answer
    x = 2,573,210.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.