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Finding the Third Proportional to 602,427 and 803,145.50

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Solution

The third proportional to 602,427 and 803,145.50 is: 1,070,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,427 : 803,145.50 = 803,145.50 : x
  2. Step 2: Convert to fraction form
    602,427/803,145.50 = 803,145.50/x
  3. Step 3: Cross multiply
    602,427x = 803,145.50 × 803,145.50
  4. Step 4: Simplify right side
    602,427x = 645,042,694,170.25
  5. Step 5: Solve for x
    x = 645,042,694,170.25/602,427
  6. Step 6: Final answer
    x = 1,070,740.01

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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.