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Finding the Third Proportional to 340,533.56 and 716,357.81

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Solution

The third proportional to 340,533.56 and 716,357.81 is: 1,506,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,533.56 : 716,357.81 = 716,357.81 : x
  2. Step 2: Convert to fraction form
    340,533.56/716,357.81 = 716,357.81/x
  3. Step 3: Cross multiply
    340,533.56x = 716,357.81 × 716,357.81
  4. Step 4: Simplify right side
    340,533.56x = 513,168,515,529.79
  5. Step 5: Solve for x
    x = 513,168,515,529.79/340,533.56
  6. Step 6: Final answer
    x = 1,506,954.30

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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.