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Finding the Third Proportional to 492,085 and 803,524

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Solution

The third proportional to 492,085 and 803,524 is: 1,312,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,085 : 803,524 = 803,524 : x
  2. Step 2: Convert to fraction form
    492,085/803,524 = 803,524/x
  3. Step 3: Cross multiply
    492,085x = 803,524 × 803,524
  4. Step 4: Simplify right side
    492,085x = 645,650,818,576
  5. Step 5: Solve for x
    x = 645,650,818,576/492,085
  6. Step 6: Final answer
    x = 1,312,071.73

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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.