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Finding the Third Proportional to 382,590 and 571,886.16

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Solution

The third proportional to 382,590 and 571,886.16 is: 854,841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,590 : 571,886.16 = 571,886.16 : x
  2. Step 2: Convert to fraction form
    382,590/571,886.16 = 571,886.16/x
  3. Step 3: Cross multiply
    382,590x = 571,886.16 × 571,886.16
  4. Step 4: Simplify right side
    382,590x = 327,053,775,710.40
  5. Step 5: Solve for x
    x = 327,053,775,710.40/382,590
  6. Step 6: Final answer
    x = 854,841.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.