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Finding the Third Proportional to 472,993.50 and 708,798.38

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Solution

The third proportional to 472,993.50 and 708,798.38 is: 1,062,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,993.50 : 708,798.38 = 708,798.38 : x
  2. Step 2: Convert to fraction form
    472,993.50/708,798.38 = 708,798.38/x
  3. Step 3: Cross multiply
    472,993.50x = 708,798.38 × 708,798.38
  4. Step 4: Simplify right side
    472,993.50x = 502,395,136,402.64
  5. Step 5: Solve for x
    x = 502,395,136,402.64/472,993.50
  6. Step 6: Final answer
    x = 1,062,160.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.