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Finding the Third Proportional to 492,042 and 803,465

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Solution

The third proportional to 492,042 and 803,465 is: 1,311,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,042 : 803,465 = 803,465 : x
  2. Step 2: Convert to fraction form
    492,042/803,465 = 803,465/x
  3. Step 3: Cross multiply
    492,042x = 803,465 × 803,465
  4. Step 4: Simplify right side
    492,042x = 645,556,006,225
  5. Step 5: Solve for x
    x = 645,556,006,225/492,042
  6. Step 6: Final answer
    x = 1,311,993.70

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.