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Finding the Third Proportional to 406,034 and 595,779

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Solution

The third proportional to 406,034 and 595,779 is: 874,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,034 : 595,779 = 595,779 : x
  2. Step 2: Convert to fraction form
    406,034/595,779 = 595,779/x
  3. Step 3: Cross multiply
    406,034x = 595,779 × 595,779
  4. Step 4: Simplify right side
    406,034x = 354,952,616,841
  5. Step 5: Solve for x
    x = 354,952,616,841/406,034
  6. Step 6: Final answer
    x = 874,194.32

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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.