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Finding the Third Proportional to 340,669.13 and 716,610.38

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Solution

The third proportional to 340,669.13 and 716,610.38 is: 1,507,417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,669.13 : 716,610.38 = 716,610.38 : x
  2. Step 2: Convert to fraction form
    340,669.13/716,610.38 = 716,610.38/x
  3. Step 3: Cross multiply
    340,669.13x = 716,610.38 × 716,610.38
  4. Step 4: Simplify right side
    340,669.13x = 513,530,429,557.64
  5. Step 5: Solve for x
    x = 513,530,429,557.64/340,669.13
  6. Step 6: Final answer
    x = 1,507,417.00

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Why These Related Problems?

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