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Finding the Third Proportional to 340,681.50 and 716,670

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Solution

The third proportional to 340,681.50 and 716,670 is: 1,507,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,681.50 : 716,670 = 716,670 : x
  2. Step 2: Convert to fraction form
    340,681.50/716,670 = 716,670/x
  3. Step 3: Cross multiply
    340,681.50x = 716,670 × 716,670
  4. Step 4: Simplify right side
    340,681.50x = 513,615,888,900
  5. Step 5: Solve for x
    x = 513,615,888,900/340,681.50
  6. Step 6: Final answer
    x = 1,507,613.09

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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.