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Finding the Third Proportional to 406,038 and 595,785

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Solution

The third proportional to 406,038 and 595,785 is: 874,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,038 : 595,785 = 595,785 : x
  2. Step 2: Convert to fraction form
    406,038/595,785 = 595,785/x
  3. Step 3: Cross multiply
    406,038x = 595,785 × 595,785
  4. Step 4: Simplify right side
    406,038x = 354,959,766,225
  5. Step 5: Solve for x
    x = 354,959,766,225/406,038
  6. Step 6: Final answer
    x = 874,203.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.