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Finding the Third Proportional to 365,045 and 562,580

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Solution

The third proportional to 365,045 and 562,580 is: 867,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,045 : 562,580 = 562,580 : x
  2. Step 2: Convert to fraction form
    365,045/562,580 = 562,580/x
  3. Step 3: Cross multiply
    365,045x = 562,580 × 562,580
  4. Step 4: Simplify right side
    365,045x = 316,496,256,400
  5. Step 5: Solve for x
    x = 316,496,256,400/365,045
  6. Step 6: Final answer
    x = 867,006.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.