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Finding the Third Proportional to 602,428.13 and 803,147.63

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Solution

The third proportional to 602,428.13 and 803,147.63 is: 1,070,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,428.13 : 803,147.63 = 803,147.63 : x
  2. Step 2: Convert to fraction form
    602,428.13/803,147.63 = 803,147.63/x
  3. Step 3: Cross multiply
    602,428.13x = 803,147.63 × 803,147.63
  4. Step 4: Simplify right side
    602,428.13x = 645,046,107,543.14
  5. Step 5: Solve for x
    x = 645,046,107,543.14/602,428.13
  6. Step 6: Final answer
    x = 1,070,743.68

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.