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Finding the Third Proportional to 374,242.50 and 812,457

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Solution

The third proportional to 374,242.50 and 812,457 is: 1,763,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,242.50 : 812,457 = 812,457 : x
  2. Step 2: Convert to fraction form
    374,242.50/812,457 = 812,457/x
  3. Step 3: Cross multiply
    374,242.50x = 812,457 × 812,457
  4. Step 4: Simplify right side
    374,242.50x = 660,086,376,849
  5. Step 5: Solve for x
    x = 660,086,376,849/374,242.50
  6. Step 6: Final answer
    x = 1,763,793.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.