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Finding the Third Proportional to 479,509.88 and 715,982.63

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Solution

The third proportional to 479,509.88 and 715,982.63 is: 1,069,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,509.88 : 715,982.63 = 715,982.63 : x
  2. Step 2: Convert to fraction form
    479,509.88/715,982.63 = 715,982.63/x
  3. Step 3: Cross multiply
    479,509.88x = 715,982.63 × 715,982.63
  4. Step 4: Simplify right side
    479,509.88x = 512,631,119,301.89
  5. Step 5: Solve for x
    x = 512,631,119,301.89/479,509.88
  6. Step 6: Final answer
    x = 1,069,073.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.