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Finding the Third Proportional to 530,725.50 and 707,089.50

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Solution

The third proportional to 530,725.50 and 707,089.50 is: 942,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,725.50 : 707,089.50 = 707,089.50 : x
  2. Step 2: Convert to fraction form
    530,725.50/707,089.50 = 707,089.50/x
  3. Step 3: Cross multiply
    530,725.50x = 707,089.50 × 707,089.50
  4. Step 4: Simplify right side
    530,725.50x = 499,975,561,010.25
  5. Step 5: Solve for x
    x = 499,975,561,010.25/530,725.50
  6. Step 6: Final answer
    x = 942,060.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.