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Finding the Third Proportional to 349,332.75 and 512,497.13

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Solution

The third proportional to 349,332.75 and 512,497.13 is: 751,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,332.75 : 512,497.13 = 512,497.13 : x
  2. Step 2: Convert to fraction form
    349,332.75/512,497.13 = 512,497.13/x
  3. Step 3: Cross multiply
    349,332.75x = 512,497.13 × 512,497.13
  4. Step 4: Simplify right side
    349,332.75x = 262,653,303,133.27
  5. Step 5: Solve for x
    x = 262,653,303,133.27/349,332.75
  6. Step 6: Final answer
    x = 751,871.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.