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Finding the Third Proportional to 457,223.06 and 703,031.06

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Solution

The third proportional to 457,223.06 and 703,031.06 is: 1,080,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,223.06 : 703,031.06 = 703,031.06 : x
  2. Step 2: Convert to fraction form
    457,223.06/703,031.06 = 703,031.06/x
  3. Step 3: Cross multiply
    457,223.06x = 703,031.06 × 703,031.06
  4. Step 4: Simplify right side
    457,223.06x = 494,252,674,839.88
  5. Step 5: Solve for x
    x = 494,252,674,839.88/457,223.06
  6. Step 6: Final answer
    x = 1,080,988.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.