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Finding the Third Proportional to 407,146.50 and 584,263.13

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Solution

The third proportional to 407,146.50 and 584,263.13 is: 838,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,146.50 : 584,263.13 = 584,263.13 : x
  2. Step 2: Convert to fraction form
    407,146.50/584,263.13 = 584,263.13/x
  3. Step 3: Cross multiply
    407,146.50x = 584,263.13 × 584,263.13
  4. Step 4: Simplify right side
    407,146.50x = 341,363,399,234.77
  5. Step 5: Solve for x
    x = 341,363,399,234.77/407,146.50
  6. Step 6: Final answer
    x = 838,428.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.