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Finding the Third Proportional to 366,322.50 and 563,397.40

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Solution

The third proportional to 366,322.50 and 563,397.40 is: 866,495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,322.50 : 563,397.40 = 563,397.40 : x
  2. Step 2: Convert to fraction form
    366,322.50/563,397.40 = 563,397.40/x
  3. Step 3: Cross multiply
    366,322.50x = 563,397.40 × 563,397.40
  4. Step 4: Simplify right side
    366,322.50x = 317,416,628,566.14
  5. Step 5: Solve for x
    x = 317,416,628,566.14/366,322.50
  6. Step 6: Final answer
    x = 866,495.04

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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.