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Finding the Third Proportional to 340,767 and 716,809.50

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Solution

The third proportional to 340,767 and 716,809.50 is: 1,507,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,767 : 716,809.50 = 716,809.50 : x
  2. Step 2: Convert to fraction form
    340,767/716,809.50 = 716,809.50/x
  3. Step 3: Cross multiply
    340,767x = 716,809.50 × 716,809.50
  4. Step 4: Simplify right side
    340,767x = 513,815,859,290.25
  5. Step 5: Solve for x
    x = 513,815,859,290.25/340,767
  6. Step 6: Final answer
    x = 1,507,821.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.