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Finding the Third Proportional to 511,522 and 802,464

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Solution

The third proportional to 511,522 and 802,464 is: 1,258,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,522 : 802,464 = 802,464 : x
  2. Step 2: Convert to fraction form
    511,522/802,464 = 802,464/x
  3. Step 3: Cross multiply
    511,522x = 802,464 × 802,464
  4. Step 4: Simplify right side
    511,522x = 643,948,471,296
  5. Step 5: Solve for x
    x = 643,948,471,296/511,522
  6. Step 6: Final answer
    x = 1,258,887.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.