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Finding the Third Proportional to 537,408 and 803,304

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Solution

The third proportional to 537,408 and 803,304 is: 1,200,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,408 : 803,304 = 803,304 : x
  2. Step 2: Convert to fraction form
    537,408/803,304 = 803,304/x
  3. Step 3: Cross multiply
    537,408x = 803,304 × 803,304
  4. Step 4: Simplify right side
    537,408x = 645,297,316,416
  5. Step 5: Solve for x
    x = 645,297,316,416/537,408
  6. Step 6: Final answer
    x = 1,200,758.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.