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Finding the Third Proportional to 305,758.13 and 719,430.19

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Solution

The third proportional to 305,758.13 and 719,430.19 is: 1,692,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,758.13 : 719,430.19 = 719,430.19 : x
  2. Step 2: Convert to fraction form
    305,758.13/719,430.19 = 719,430.19/x
  3. Step 3: Cross multiply
    305,758.13x = 719,430.19 × 719,430.19
  4. Step 4: Simplify right side
    305,758.13x = 517,579,794,686.29
  5. Step 5: Solve for x
    x = 517,579,794,686.29/305,758.13
  6. Step 6: Final answer
    x = 1,692,775.28

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.