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Finding the Third Proportional to 406,032 and 595,776

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Solution

The third proportional to 406,032 and 595,776 is: 874,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,032 : 595,776 = 595,776 : x
  2. Step 2: Convert to fraction form
    406,032/595,776 = 595,776/x
  3. Step 3: Cross multiply
    406,032x = 595,776 × 595,776
  4. Step 4: Simplify right side
    406,032x = 354,949,042,176
  5. Step 5: Solve for x
    x = 354,949,042,176/406,032
  6. Step 6: Final answer
    x = 874,189.82

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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.