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Finding the Third Proportional to 365,510 and 573,507

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Solution

The third proportional to 365,510 and 573,507 is: 899,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,510 : 573,507 = 573,507 : x
  2. Step 2: Convert to fraction form
    365,510/573,507 = 573,507/x
  3. Step 3: Cross multiply
    365,510x = 573,507 × 573,507
  4. Step 4: Simplify right side
    365,510x = 328,910,279,049
  5. Step 5: Solve for x
    x = 328,910,279,049/365,510
  6. Step 6: Final answer
    x = 899,866.70

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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.