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Finding the Third Proportional to 492,085 and 803,523

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Solution

The third proportional to 492,085 and 803,523 is: 1,312,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,085 : 803,523 = 803,523 : x
  2. Step 2: Convert to fraction form
    492,085/803,523 = 803,523/x
  3. Step 3: Cross multiply
    492,085x = 803,523 × 803,523
  4. Step 4: Simplify right side
    492,085x = 645,649,211,529
  5. Step 5: Solve for x
    x = 645,649,211,529/492,085
  6. Step 6: Final answer
    x = 1,312,068.47

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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.