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Finding the Third Proportional to 281,569.88 and 583,101.38

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Solution

The third proportional to 281,569.88 and 583,101.38 is: 1,207,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,569.88 : 583,101.38 = 583,101.38 : x
  2. Step 2: Convert to fraction form
    281,569.88/583,101.38 = 583,101.38/x
  3. Step 3: Cross multiply
    281,569.88x = 583,101.38 × 583,101.38
  4. Step 4: Simplify right side
    281,569.88x = 340,007,213,526.89
  5. Step 5: Solve for x
    x = 340,007,213,526.89/281,569.88
  6. Step 6: Final answer
    x = 1,207,541.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.