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Finding the Third Proportional to 375,380 and 566,312

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Solution

The third proportional to 375,380 and 566,312 is: 854,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,380 : 566,312 = 566,312 : x
  2. Step 2: Convert to fraction form
    375,380/566,312 = 566,312/x
  3. Step 3: Cross multiply
    375,380x = 566,312 × 566,312
  4. Step 4: Simplify right side
    375,380x = 320,709,281,344
  5. Step 5: Solve for x
    x = 320,709,281,344/375,380
  6. Step 6: Final answer
    x = 854,359.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.