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Finding the Third Proportional to 602,344 and 803,017

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Solution

The third proportional to 602,344 and 803,017 is: 1,070,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,344 : 803,017 = 803,017 : x
  2. Step 2: Convert to fraction form
    602,344/803,017 = 803,017/x
  3. Step 3: Cross multiply
    602,344x = 803,017 × 803,017
  4. Step 4: Simplify right side
    602,344x = 644,836,302,289
  5. Step 5: Solve for x
    x = 644,836,302,289/602,344
  6. Step 6: Final answer
    x = 1,070,544.91

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Why These Related Problems?

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