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Finding the Third Proportional to 211,307.50 and 498,316.50

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Solution

The third proportional to 211,307.50 and 498,316.50 is: 1,175,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,307.50 : 498,316.50 = 498,316.50 : x
  2. Step 2: Convert to fraction form
    211,307.50/498,316.50 = 498,316.50/x
  3. Step 3: Cross multiply
    211,307.50x = 498,316.50 × 498,316.50
  4. Step 4: Simplify right side
    211,307.50x = 248,319,334,172.25
  5. Step 5: Solve for x
    x = 248,319,334,172.25/211,307.50
  6. Step 6: Final answer
    x = 1,175,156.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.