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Finding the Third Proportional to 541,465 and 793,727.50

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Solution

The third proportional to 541,465 and 793,727.50 is: 1,163,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,465 : 793,727.50 = 793,727.50 : x
  2. Step 2: Convert to fraction form
    541,465/793,727.50 = 793,727.50/x
  3. Step 3: Cross multiply
    541,465x = 793,727.50 × 793,727.50
  4. Step 4: Simplify right side
    541,465x = 630,003,344,256.25
  5. Step 5: Solve for x
    x = 630,003,344,256.25/541,465
  6. Step 6: Final answer
    x = 1,163,516.28

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