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Finding the Third Proportional to 511,445 and 802,304

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Solution

The third proportional to 511,445 and 802,304 is: 1,258,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,445 : 802,304 = 802,304 : x
  2. Step 2: Convert to fraction form
    511,445/802,304 = 802,304/x
  3. Step 3: Cross multiply
    511,445x = 802,304 × 802,304
  4. Step 4: Simplify right side
    511,445x = 643,691,708,416
  5. Step 5: Solve for x
    x = 643,691,708,416/511,445
  6. Step 6: Final answer
    x = 1,258,574.64

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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.