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Finding the Third Proportional to 520,537.50 and 709,141.50

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Solution

The third proportional to 520,537.50 and 709,141.50 is: 966,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,537.50 : 709,141.50 = 709,141.50 : x
  2. Step 2: Convert to fraction form
    520,537.50/709,141.50 = 709,141.50/x
  3. Step 3: Cross multiply
    520,537.50x = 709,141.50 × 709,141.50
  4. Step 4: Simplify right side
    520,537.50x = 502,881,667,022.25
  5. Step 5: Solve for x
    x = 502,881,667,022.25/520,537.50
  6. Step 6: Final answer
    x = 966,081.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.