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Finding the Third Proportional to 620 and 977.50

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Solution

The third proportional to 620 and 977.50 is: 1,541.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    620 : 977.50 = 977.50 : x
  2. Step 2: Convert to fraction form
    620/977.50 = 977.50/x
  3. Step 3: Cross multiply
    620x = 977.50 × 977.50
  4. Step 4: Simplify right side
    620x = 955,506.25
  5. Step 5: Solve for x
    x = 955,506.25/620
  6. Step 6: Final answer
    x = 1,541.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.