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Finding the Third Proportional to 492,082.50 and 803,520

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Solution

The third proportional to 492,082.50 and 803,520 is: 1,312,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,082.50 : 803,520 = 803,520 : x
  2. Step 2: Convert to fraction form
    492,082.50/803,520 = 803,520/x
  3. Step 3: Cross multiply
    492,082.50x = 803,520 × 803,520
  4. Step 4: Simplify right side
    492,082.50x = 645,644,390,400
  5. Step 5: Solve for x
    x = 645,644,390,400/492,082.50
  6. Step 6: Final answer
    x = 1,312,065.34

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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.