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Finding the Third Proportional to 375,516 and 566,460

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Solution

The third proportional to 375,516 and 566,460 is: 854,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,516 : 566,460 = 566,460 : x
  2. Step 2: Convert to fraction form
    375,516/566,460 = 566,460/x
  3. Step 3: Cross multiply
    375,516x = 566,460 × 566,460
  4. Step 4: Simplify right side
    375,516x = 320,876,931,600
  5. Step 5: Solve for x
    x = 320,876,931,600/375,516
  6. Step 6: Final answer
    x = 854,496.03

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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.