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Finding the Third Proportional to 523,080 and 808,281

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Solution

The third proportional to 523,080 and 808,281 is: 1,248,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,080 : 808,281 = 808,281 : x
  2. Step 2: Convert to fraction form
    523,080/808,281 = 808,281/x
  3. Step 3: Cross multiply
    523,080x = 808,281 × 808,281
  4. Step 4: Simplify right side
    523,080x = 653,318,174,961
  5. Step 5: Solve for x
    x = 653,318,174,961/523,080
  6. Step 6: Final answer
    x = 1,248,983.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.