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Finding the Third Proportional to 460,021.50 and 704,853

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Solution

The third proportional to 460,021.50 and 704,853 is: 1,079,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,021.50 : 704,853 = 704,853 : x
  2. Step 2: Convert to fraction form
    460,021.50/704,853 = 704,853/x
  3. Step 3: Cross multiply
    460,021.50x = 704,853 × 704,853
  4. Step 4: Simplify right side
    460,021.50x = 496,817,751,609
  5. Step 5: Solve for x
    x = 496,817,751,609/460,021.50
  6. Step 6: Final answer
    x = 1,079,988.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.