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Finding the Third Proportional to 492,091 and 803,532

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Solution

The third proportional to 492,091 and 803,532 is: 1,312,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,091 : 803,532 = 803,532 : x
  2. Step 2: Convert to fraction form
    492,091/803,532 = 803,532/x
  3. Step 3: Cross multiply
    492,091x = 803,532 × 803,532
  4. Step 4: Simplify right side
    492,091x = 645,663,675,024
  5. Step 5: Solve for x
    x = 645,663,675,024/492,091
  6. Step 6: Final answer
    x = 1,312,081.86

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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.