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Finding the Third Proportional to 460,764 and 721,243

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Solution

The third proportional to 460,764 and 721,243 is: 1,128,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,764 : 721,243 = 721,243 : x
  2. Step 2: Convert to fraction form
    460,764/721,243 = 721,243/x
  3. Step 3: Cross multiply
    460,764x = 721,243 × 721,243
  4. Step 4: Simplify right side
    460,764x = 520,191,465,049
  5. Step 5: Solve for x
    x = 520,191,465,049/460,764
  6. Step 6: Final answer
    x = 1,128,975.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.