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Finding the Third Proportional to 374,269.50 and 812,511

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Solution

The third proportional to 374,269.50 and 812,511 is: 1,763,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,269.50 : 812,511 = 812,511 : x
  2. Step 2: Convert to fraction form
    374,269.50/812,511 = 812,511/x
  3. Step 3: Cross multiply
    374,269.50x = 812,511 × 812,511
  4. Step 4: Simplify right side
    374,269.50x = 660,174,125,121
  5. Step 5: Solve for x
    x = 660,174,125,121/374,269.50
  6. Step 6: Final answer
    x = 1,763,900.41

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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.