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Finding the Third Proportional to 714,262.88 and 1,525,394.56

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Solution

The third proportional to 714,262.88 and 1,525,394.56 is: 3,257,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,262.88 : 1,525,394.56 = 1,525,394.56 : x
  2. Step 2: Convert to fraction form
    714,262.88/1,525,394.56 = 1,525,394.56/x
  3. Step 3: Cross multiply
    714,262.88x = 1,525,394.56 × 1,525,394.56
  4. Step 4: Simplify right side
    714,262.88x = 2,326,828,571,304.57
  5. Step 5: Solve for x
    x = 2,326,828,571,304.57/714,262.88
  6. Step 6: Final answer
    x = 3,257,664.16

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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.