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Finding the Third Proportional to 521,748 and 744,348.38

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Solution

The third proportional to 521,748 and 744,348.38 is: 1,061,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,748 : 744,348.38 = 744,348.38 : x
  2. Step 2: Convert to fraction form
    521,748/744,348.38 = 744,348.38/x
  3. Step 3: Cross multiply
    521,748x = 744,348.38 × 744,348.38
  4. Step 4: Simplify right side
    521,748x = 554,054,503,365.14
  5. Step 5: Solve for x
    x = 554,054,503,365.14/521,748
  6. Step 6: Final answer
    x = 1,061,919.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.