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Finding the Third Proportional to 602,049 and 932,719.50

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Solution

The third proportional to 602,049 and 932,719.50 is: 1,445,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,049 : 932,719.50 = 932,719.50 : x
  2. Step 2: Convert to fraction form
    602,049/932,719.50 = 932,719.50/x
  3. Step 3: Cross multiply
    602,049x = 932,719.50 × 932,719.50
  4. Step 4: Simplify right side
    602,049x = 869,965,665,680.25
  5. Step 5: Solve for x
    x = 869,965,665,680.25/602,049
  6. Step 6: Final answer
    x = 1,445,008.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.