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Finding the Third Proportional to 403,550 and 565,564

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Solution

The third proportional to 403,550 and 565,564 is: 792,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,550 : 565,564 = 565,564 : x
  2. Step 2: Convert to fraction form
    403,550/565,564 = 565,564/x
  3. Step 3: Cross multiply
    403,550x = 565,564 × 565,564
  4. Step 4: Simplify right side
    403,550x = 319,862,638,096
  5. Step 5: Solve for x
    x = 319,862,638,096/403,550
  6. Step 6: Final answer
    x = 792,622.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.