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Finding the Third Proportional to 406,531.75 and 875,498

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Solution

The third proportional to 406,531.75 and 875,498 is: 1,885,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,531.75 : 875,498 = 875,498 : x
  2. Step 2: Convert to fraction form
    406,531.75/875,498 = 875,498/x
  3. Step 3: Cross multiply
    406,531.75x = 875,498 × 875,498
  4. Step 4: Simplify right side
    406,531.75x = 766,496,748,004
  5. Step 5: Solve for x
    x = 766,496,748,004/406,531.75
  6. Step 6: Final answer
    x = 1,885,453.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.