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Finding the Third Proportional to 537,432 and 803,340

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Solution

The third proportional to 537,432 and 803,340 is: 1,200,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,432 : 803,340 = 803,340 : x
  2. Step 2: Convert to fraction form
    537,432/803,340 = 803,340/x
  3. Step 3: Cross multiply
    537,432x = 803,340 × 803,340
  4. Step 4: Simplify right side
    537,432x = 645,355,155,600
  5. Step 5: Solve for x
    x = 645,355,155,600/537,432
  6. Step 6: Final answer
    x = 1,200,812.67

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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.