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Finding the Third Proportional to 537,424 and 803,328

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Solution

The third proportional to 537,424 and 803,328 is: 1,200,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,424 : 803,328 = 803,328 : x
  2. Step 2: Convert to fraction form
    537,424/803,328 = 803,328/x
  3. Step 3: Cross multiply
    537,424x = 803,328 × 803,328
  4. Step 4: Simplify right side
    537,424x = 645,335,875,584
  5. Step 5: Solve for x
    x = 645,335,875,584/537,424
  6. Step 6: Final answer
    x = 1,200,794.67

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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.