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Finding the Third Proportional to 646,951.50 and 993,033

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Solution

The third proportional to 646,951.50 and 993,033 is: 1,524,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,951.50 : 993,033 = 993,033 : x
  2. Step 2: Convert to fraction form
    646,951.50/993,033 = 993,033/x
  3. Step 3: Cross multiply
    646,951.50x = 993,033 × 993,033
  4. Step 4: Simplify right side
    646,951.50x = 986,114,539,089
  5. Step 5: Solve for x
    x = 986,114,539,089/646,951.50
  6. Step 6: Final answer
    x = 1,524,248.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.