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Finding the Third Proportional to 647.94 and 1,000.53

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Solution

The third proportional to 647.94 and 1,000.53 is: 1,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.94 : 1,000.53 = 1,000.53 : x
  2. Step 2: Convert to fraction form
    647.94/1,000.53 = 1,000.53/x
  3. Step 3: Cross multiply
    647.94x = 1,000.53 × 1,000.53
  4. Step 4: Simplify right side
    647.94x = 1,001,062.78
  5. Step 5: Solve for x
    x = 1,001,062.78/647.94
  6. Step 6: Final answer
    x = 1,545.00

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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.