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Finding the Third Proportional to 469,944 and 715,950

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Solution

The third proportional to 469,944 and 715,950 is: 1,090,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,944 : 715,950 = 715,950 : x
  2. Step 2: Convert to fraction form
    469,944/715,950 = 715,950/x
  3. Step 3: Cross multiply
    469,944x = 715,950 × 715,950
  4. Step 4: Simplify right side
    469,944x = 512,584,402,500
  5. Step 5: Solve for x
    x = 512,584,402,500/469,944
  6. Step 6: Final answer
    x = 1,090,735.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.