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Finding the Third Proportional to 409,501.13 and 619,979.63

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Solution

The third proportional to 409,501.13 and 619,979.63 is: 938,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,501.13 : 619,979.63 = 619,979.63 : x
  2. Step 2: Convert to fraction form
    409,501.13/619,979.63 = 619,979.63/x
  3. Step 3: Cross multiply
    409,501.13x = 619,979.63 × 619,979.63
  4. Step 4: Simplify right side
    409,501.13x = 384,374,735,415.14
  5. Step 5: Solve for x
    x = 384,374,735,415.14/409,501.13
  6. Step 6: Final answer
    x = 938,641.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.