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Finding the Third Proportional to 320,139 and 741,055.50

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Solution

The third proportional to 320,139 and 741,055.50 is: 1,715,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,139 : 741,055.50 = 741,055.50 : x
  2. Step 2: Convert to fraction form
    320,139/741,055.50 = 741,055.50/x
  3. Step 3: Cross multiply
    320,139x = 741,055.50 × 741,055.50
  4. Step 4: Simplify right side
    320,139x = 549,163,254,080.25
  5. Step 5: Solve for x
    x = 549,163,254,080.25/320,139
  6. Step 6: Final answer
    x = 1,715,390.05

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.