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Finding the Third Proportional to 403,080 and 869,095.50

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Solution

The third proportional to 403,080 and 869,095.50 is: 1,873,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,080 : 869,095.50 = 869,095.50 : x
  2. Step 2: Convert to fraction form
    403,080/869,095.50 = 869,095.50/x
  3. Step 3: Cross multiply
    403,080x = 869,095.50 × 869,095.50
  4. Step 4: Simplify right side
    403,080x = 755,326,988,120.25
  5. Step 5: Solve for x
    x = 755,326,988,120.25/403,080
  6. Step 6: Final answer
    x = 1,873,888.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.