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Finding the Third Proportional to 375,021 and 595,746

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Solution

The third proportional to 375,021 and 595,746 is: 946,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,021 : 595,746 = 595,746 : x
  2. Step 2: Convert to fraction form
    375,021/595,746 = 595,746/x
  3. Step 3: Cross multiply
    375,021x = 595,746 × 595,746
  4. Step 4: Simplify right side
    375,021x = 354,913,296,516
  5. Step 5: Solve for x
    x = 354,913,296,516/375,021
  6. Step 6: Final answer
    x = 946,382.46

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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.