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Finding the Third Proportional to 375,952 and 590,658

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Solution

The third proportional to 375,952 and 590,658 is: 927,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,952 : 590,658 = 590,658 : x
  2. Step 2: Convert to fraction form
    375,952/590,658 = 590,658/x
  3. Step 3: Cross multiply
    375,952x = 590,658 × 590,658
  4. Step 4: Simplify right side
    375,952x = 348,876,872,964
  5. Step 5: Solve for x
    x = 348,876,872,964/375,952
  6. Step 6: Final answer
    x = 927,982.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.