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Finding the Third Proportional to 589,700.25 and 935,215.88

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Solution

The third proportional to 589,700.25 and 935,215.88 is: 1,483,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,700.25 : 935,215.88 = 935,215.88 : x
  2. Step 2: Convert to fraction form
    589,700.25/935,215.88 = 935,215.88/x
  3. Step 3: Cross multiply
    589,700.25x = 935,215.88 × 935,215.88
  4. Step 4: Simplify right side
    589,700.25x = 874,628,732,852.02
  5. Step 5: Solve for x
    x = 874,628,732,852.02/589,700.25
  6. Step 6: Final answer
    x = 1,483,175.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.