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Finding the Third Proportional to 530,774 and 780,501

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Solution

The third proportional to 530,774 and 780,501 is: 1,147,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,774 : 780,501 = 780,501 : x
  2. Step 2: Convert to fraction form
    530,774/780,501 = 780,501/x
  3. Step 3: Cross multiply
    530,774x = 780,501 × 780,501
  4. Step 4: Simplify right side
    530,774x = 609,181,811,001
  5. Step 5: Solve for x
    x = 609,181,811,001/530,774
  6. Step 6: Final answer
    x = 1,147,723.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.