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Finding the Third Proportional to 340,267.50 and 745,659

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Solution

The third proportional to 340,267.50 and 745,659 is: 1,634,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,267.50 : 745,659 = 745,659 : x
  2. Step 2: Convert to fraction form
    340,267.50/745,659 = 745,659/x
  3. Step 3: Cross multiply
    340,267.50x = 745,659 × 745,659
  4. Step 4: Simplify right side
    340,267.50x = 556,007,344,281
  5. Step 5: Solve for x
    x = 556,007,344,281/340,267.50
  6. Step 6: Final answer
    x = 1,634,030.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.