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Finding the Third Proportional to 524,530.69 and 788,254.03

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Solution

The third proportional to 524,530.69 and 788,254.03 is: 1,184,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,530.69 : 788,254.03 = 788,254.03 : x
  2. Step 2: Convert to fraction form
    524,530.69/788,254.03 = 788,254.03/x
  3. Step 3: Cross multiply
    524,530.69x = 788,254.03 × 788,254.03
  4. Step 4: Simplify right side
    524,530.69x = 621,344,417,781.88
  5. Step 5: Solve for x
    x = 621,344,417,781.88/524,530.69
  6. Step 6: Final answer
    x = 1,184,572.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.