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Finding the Third Proportional to 460,858 and 715,263

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Solution

The third proportional to 460,858 and 715,263 is: 1,110,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,858 : 715,263 = 715,263 : x
  2. Step 2: Convert to fraction form
    460,858/715,263 = 715,263/x
  3. Step 3: Cross multiply
    460,858x = 715,263 × 715,263
  4. Step 4: Simplify right side
    460,858x = 511,601,159,169
  5. Step 5: Solve for x
    x = 511,601,159,169/460,858
  6. Step 6: Final answer
    x = 1,110,105.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.