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Finding the Third Proportional to 465,023 and 492,703

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Solution

The third proportional to 465,023 and 492,703 is: 522,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,023 : 492,703 = 492,703 : x
  2. Step 2: Convert to fraction form
    465,023/492,703 = 492,703/x
  3. Step 3: Cross multiply
    465,023x = 492,703 × 492,703
  4. Step 4: Simplify right side
    465,023x = 242,756,246,209
  5. Step 5: Solve for x
    x = 242,756,246,209/465,023
  6. Step 6: Final answer
    x = 522,030.62

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.