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Finding the Third Proportional to 492,087 and 803,526

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Solution

The third proportional to 492,087 and 803,526 is: 1,312,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,087 : 803,526 = 803,526 : x
  2. Step 2: Convert to fraction form
    492,087/803,526 = 803,526/x
  3. Step 3: Cross multiply
    492,087x = 803,526 × 803,526
  4. Step 4: Simplify right side
    492,087x = 645,654,032,676
  5. Step 5: Solve for x
    x = 645,654,032,676/492,087
  6. Step 6: Final answer
    x = 1,312,072.93

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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.