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Finding the Third Proportional to 563,830.50 and 1,174,317

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Solution

The third proportional to 563,830.50 and 1,174,317 is: 2,445,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,830.50 : 1,174,317 = 1,174,317 : x
  2. Step 2: Convert to fraction form
    563,830.50/1,174,317 = 1,174,317/x
  3. Step 3: Cross multiply
    563,830.50x = 1,174,317 × 1,174,317
  4. Step 4: Simplify right side
    563,830.50x = 1,379,020,416,489
  5. Step 5: Solve for x
    x = 1,379,020,416,489/563,830.50
  6. Step 6: Final answer
    x = 2,445,806.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.