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Finding the Third Proportional to 375,428 and 757,000

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Solution

The third proportional to 375,428 and 757,000 is: 1,526,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,428 : 757,000 = 757,000 : x
  2. Step 2: Convert to fraction form
    375,428/757,000 = 757,000/x
  3. Step 3: Cross multiply
    375,428x = 757,000 × 757,000
  4. Step 4: Simplify right side
    375,428x = 573,049,000,000
  5. Step 5: Solve for x
    x = 573,049,000,000/375,428
  6. Step 6: Final answer
    x = 1,526,388.55

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.