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Finding the Third Proportional to 340,659 and 716,590.50

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Solution

The third proportional to 340,659 and 716,590.50 is: 1,507,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,659 : 716,590.50 = 716,590.50 : x
  2. Step 2: Convert to fraction form
    340,659/716,590.50 = 716,590.50/x
  3. Step 3: Cross multiply
    340,659x = 716,590.50 × 716,590.50
  4. Step 4: Simplify right side
    340,659x = 513,501,944,690.25
  5. Step 5: Solve for x
    x = 513,501,944,690.25/340,659
  6. Step 6: Final answer
    x = 1,507,378.18

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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.