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Finding the Third Proportional to 365,458.50 and 562,457.25

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Solution

The third proportional to 365,458.50 and 562,457.25 is: 865,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,458.50 : 562,457.25 = 562,457.25 : x
  2. Step 2: Convert to fraction form
    365,458.50/562,457.25 = 562,457.25/x
  3. Step 3: Cross multiply
    365,458.50x = 562,457.25 × 562,457.25
  4. Step 4: Simplify right side
    365,458.50x = 316,358,158,077.56
  5. Step 5: Solve for x
    x = 316,358,158,077.56/365,458.50
  6. Step 6: Final answer
    x = 865,647.28

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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.