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Finding the Third Proportional to 287,280 and 624,307.50

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Solution

The third proportional to 287,280 and 624,307.50 is: 1,356,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,280 : 624,307.50 = 624,307.50 : x
  2. Step 2: Convert to fraction form
    287,280/624,307.50 = 624,307.50/x
  3. Step 3: Cross multiply
    287,280x = 624,307.50 × 624,307.50
  4. Step 4: Simplify right side
    287,280x = 389,759,854,556.25
  5. Step 5: Solve for x
    x = 389,759,854,556.25/287,280
  6. Step 6: Final answer
    x = 1,356,724.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.