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Finding the Third Proportional to 509,712.75 and 713,089.13

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Solution

The third proportional to 509,712.75 and 713,089.13 is: 997,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,712.75 : 713,089.13 = 713,089.13 : x
  2. Step 2: Convert to fraction form
    509,712.75/713,089.13 = 713,089.13/x
  3. Step 3: Cross multiply
    509,712.75x = 713,089.13 × 713,089.13
  4. Step 4: Simplify right side
    509,712.75x = 508,496,100,193.27
  5. Step 5: Solve for x
    x = 508,496,100,193.27/509,712.75
  6. Step 6: Final answer
    x = 997,613.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.