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Finding the Third Proportional to 492,095 and 803,538

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Solution

The third proportional to 492,095 and 803,538 is: 1,312,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,095 : 803,538 = 803,538 : x
  2. Step 2: Convert to fraction form
    492,095/803,538 = 803,538/x
  3. Step 3: Cross multiply
    492,095x = 803,538 × 803,538
  4. Step 4: Simplify right side
    492,095x = 645,673,317,444
  5. Step 5: Solve for x
    x = 645,673,317,444/492,095
  6. Step 6: Final answer
    x = 1,312,090.79

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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.